{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bayesian test PG1244+026(14-2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fftpack import fft,ifft\n",
    "import pandas as pd\n",
    "from scipy.optimize import minimize\n",
    "from scipy.optimize import basinhopping\n",
    "from iminuit import Minuit\n",
    "\n",
    "import emcee\n",
    "from pprint import pprint\n",
    "import time\n",
    "from multiprocessing import Pool\n",
    "\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 似然函数 p; D = -2 ln p\n",
    "\n",
    "def twi_minus_loglikelihood(log_A,log_f_b,alpha_H,poisson):\n",
    "    alpha_L = 1.0\n",
    "    \n",
    "    perdata142 = pd.read_csv(\"perlist142.csv\")\n",
    "    f = perdata142['f']\n",
    "    per = perdata142['per']\n",
    "    \n",
    "    model = []\n",
    "    f_length = len(f)\n",
    "    for i in range(f_length):\n",
    "        model.append(((f[i]**(-alpha_L))/(1+(f[i]/(10**log_f_b))**(alpha_H-alpha_L)))*(10**log_A)+poisson)\n",
    "     \n",
    "    \n",
    "    length = len(perdata142)\n",
    "    minus_log_p = 0\n",
    "    for i in range(length):\n",
    "        minus_log_p += (per[i]/model[i]+math.log(model[i]))\n",
    "    \n",
    "    \n",
    "    D = 2*minus_log_p\n",
    "    # print (D)\n",
    "    return D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<hr>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <td title=\"Minimum value of function\">FCN = 844.6508555783817</td>\n",
       "        <td title=\"Total number of call to FCN so far\">TOTAL NCALL = 232</td>\n",
       "        <td title=\"Number of call in last migrad\">NCALLS = 232</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td title=\"Estimated distance to minimum\">EDM = 5.2722453949656146e-05</td>\n",
       "        <td title=\"Maximum EDM definition of convergence\">GOAL EDM = 1e-05</td>\n",
       "        <td title=\"Error def. Amount of increase in FCN to be defined as 1 standard deviation\">\n",
       "        UP = 1.0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table>\n",
       "    <tr>\n",
       "        <td align=\"center\" title=\"Validity of the migrad call\">Valid</td>\n",
       "        <td align=\"center\" title=\"Validity of parameters\">Valid Param</td>\n",
       "        <td align=\"center\" title=\"Is Covariance matrix accurate?\">Accurate Covar</td>\n",
       "        <td align=\"center\" title=\"Positive definiteness of covariance matrix\">PosDef</td>\n",
       "        <td align=\"center\" title=\"Was covariance matrix made posdef by adding diagonal element\">Made PosDef</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td align=\"center\" title=\"Was last hesse call fail?\">Hesse Fail</td>\n",
       "        <td align=\"center\" title=\"Validity of covariance\">HasCov</td>\n",
       "        <td align=\"center\" title=\"Is EDM above goal EDM?\">Above EDM</td>\n",
       "        <td align=\"center\"></td>\n",
       "        <td align=\"center\" title=\"Did last migrad call reach max call limit?\">Reach calllim</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">False</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">False</td>\n",
       "        <td align=\"center\"></td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">False</td>\n",
       "    </tr>\n",
       "</table>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <td><a href=\"#\" onclick=\"$('#GPgAYRlzlk').toggle()\">+</a></td>\n",
       "        <td title=\"Variable name\">Name</td>\n",
       "        <td title=\"Value of parameter\">Value</td>\n",
       "        <td title=\"Hesse error\">Hesse Error</td>\n",
       "        <td title=\"Minos lower error\">Minos Error-</td>\n",
       "        <td title=\"Minos upper error\">Minos Error+</td>\n",
       "        <td title=\"Lower limit of the parameter\">Limit-</td>\n",
       "        <td title=\"Upper limit of the parameter\">Limit+</td>\n",
       "        <td title=\"Is the parameter fixed in the fit\">Fixed?</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>0</td>\n",
       "        <td>log_A</td>\n",
       "        <td>-2.33617</td>\n",
       "        <td>0.188546</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>-3</td>\n",
       "        <td>-1</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>1</td>\n",
       "        <td>log_f_b</td>\n",
       "        <td>-3.13473</td>\n",
       "        <td>0.413654</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>-5</td>\n",
       "        <td>-2</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>2</td>\n",
       "        <td>alpha_H</td>\n",
       "        <td>2.01029</td>\n",
       "        <td>0.526816</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>1</td>\n",
       "        <td>5</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>3</td>\n",
       "        <td>poisson</td>\n",
       "        <td>0.387201</td>\n",
       "        <td>0.0564489</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>0</td>\n",
       "        <td>1</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<pre id=\"GPgAYRlzlk\" style=\"display:none;\">\n",
       "<textarea rows=\"14\" cols=\"50\" onclick=\"this.select()\" readonly>\n",
       "\\begin{tabular}{|c|r|r|r|r|r|r|r|c|}\n",
       "\\hline\n",
       " & Name & Value & Hesse Error & Minos Error- & Minos Error+ & Limit- & Limit+ & Fixed?\\\\\n",
       "\\hline\n",
       "0 & $log_{A}$ & -2.33617 & 0.188546 &  &  & -3.0 & -1 & No\\\\\n",
       "\\hline\n",
       "1 & log $f_{b}$ & -3.13473 & 0.413654 &  &  & -5.0 & -2 & No\\\\\n",
       "\\hline\n",
       "2 & $\\alpha_{H}$ & 2.01029 & 0.526816 &  &  & 1.0 & 5 & No\\\\\n",
       "\\hline\n",
       "3 & poisson & 0.387201 & 0.0564489 &  &  & 0.0 & 1 & No\\\\\n",
       "\\hline\n",
       "\\end{tabular}\n",
       "</textarea>\n",
       "</pre>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<hr>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "844.6508555783817\n"
     ]
    }
   ],
   "source": [
    "m=Minuit(twi_minus_loglikelihood,log_A=math.log(0.005,10),log_f_b=math.log(1.7E-4,10),alpha_H=3.8,poisson=0.8,\n",
    "         error_log_A=0.1,error_log_f_b=0.1,error_alpha_H=0.01,error_poisson=0.01,\n",
    "         limit_log_A=(-3,-1), limit_log_f_b=(-5,-2),limit_alpha_H=(1.0,5.0),limit_poisson=(0,1),\n",
    "         errordef=1)\n",
    "\n",
    "m.migrad()\n",
    "\n",
    "pprint(m.fval)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "perdata142 = pd.read_csv(\"perlist142.csv\")\n",
    "f = perdata142['f']\n",
    "per = perdata142['per']\n",
    "\n",
    "alpha_L = 1.0\n",
    "log_A,log_f_b,alpha_H,poisson = m.values[0],m.values[1],m.values[2],m.values[3]\n",
    "\n",
    "model = []\n",
    "R_obs = []\n",
    "T_SSE_obs = 0\n",
    "f_length = len(f)\n",
    "for i in range(f_length):\n",
    "    model.append(((f[i]**(-alpha_L))/(1+(f[i]/(10**log_f_b))**(alpha_H-alpha_L)))*(10**log_A)+poisson)\n",
    "    R_obs.append(2*per[i]/model[i])\n",
    "    T_SSE_obs += (((per[i]-model[i])/model[i])**2)\n",
    "    \n",
    "plt.figure(figsize=(10,8))\n",
    "plt.loglog()\n",
    "plt.step(f, per, color=\"b\", alpha=0.5, linewidth=1)\n",
    "plt.plot(f, model, color=\"r\", linewidth=1)\n",
    "plt.xlabel(\"frequency\",fontsize=15)\n",
    "plt.ylabel(\"power\",fontsize=15)\n",
    "plt.tick_params(labelsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T_R = 11.535967694678138\n",
      "T_SSE = 545.4690845469614\n"
     ]
    }
   ],
   "source": [
    "# 两个统计量\n",
    "T_R_obs = max(R_obs)\n",
    "print (\"T_R =\", T_R_obs)\n",
    "print (\"T_SSE =\", T_SSE_obs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 5000条光变曲线\n",
    "\n",
    "df = 0.01/f_length\n",
    "N = 2*f_length\n",
    "\n",
    "\n",
    "counts_list=[None for i in range(5000)]\n",
    "for a in range(5000): \n",
    "    omega = []\n",
    "    POW = []\n",
    "    DFT = []\n",
    "    fr = []\n",
    "    fi = []\n",
    "    f1 = []\n",
    "    for j in range(1,N+1):\n",
    "        omega.append(j*df)\n",
    "        POW.append(((omega[-1]**(-alpha_L))/(1+(omega[-1]/(10**log_f_b))**(alpha_H-alpha_L)))*(10**log_A)+poisson)\n",
    "        DFT.append(complex(np.sqrt(POW[-1]*0.5),np.sqrt(POW[-1]*0.5)))\n",
    "        s1=np.random.normal(loc=0.0, scale=1.0, size=None)\n",
    "        s2=np.random.normal(loc=0.0, scale=1.0, size=None)\n",
    "        fr.append((DFT[-1].real)*s1)\n",
    "        fi.append((DFT[-1].imag)*s2)\n",
    "        f1.append(complex(fr[-1],fi[-1]))\n",
    "    counts = ifft(f1)\n",
    "    counts_list[a] = counts\n",
    "    \n",
    "    \n",
    "#周期图\n",
    "per_list=[None for i in range(5000)]\n",
    "TR_list=[]\n",
    "TSSE_list=[]\n",
    "n_TR = 0\n",
    "n_TSSE = 0\n",
    "\n",
    "for a in range(5000):\n",
    "    dft = fft(counts_list[a])\n",
    "    dft1 = dft[0:f_length]\n",
    "    per_simu = (abs(dft1)**2)\n",
    "    per_list[a] = per_simu\n",
    "    R_simu = []\n",
    "    T_SSE_simu = 0\n",
    "    for i in range(f_length):\n",
    "        R_simu.append(2*per_simu[i]/model[i])\n",
    "        T_SSE_simu += (((per_simu[i]-model[i])/model[i])**2)\n",
    "    TR_list.append(max(R_simu))\n",
    "    TSSE_list.append(T_SSE_simu)\n",
    "    if TR_list[-1]>T_R_obs:\n",
    "        n_TR += 1\n",
    "    if TSSE_list[-1]>T_SSE_obs:\n",
    "        n_TSSE += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pc = n_TR/5000\n",
    "p_TR = (\"%.2f\" % pc)\n",
    "fig = plt.figure(figsize=(10,8))\n",
    "ax = fig.add_subplot(111)\n",
    "plt.hist(TR_list, bins=20, density=True, color=\"b\", edgecolor='k')\n",
    "plt.axvline(T_R_obs, color=\"r\", linewidth=2)\n",
    "plt.text(0.9, 0.9,'p=%s'%p_TR, color='red', ha='center', transform=ax.transAxes, fontsize=20)\n",
    "ax.set_xlabel(\"$T_R\\ statistic$\",fontsize=15)\n",
    "ax.set_ylabel(\"Density\",fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pc = n_TSSE/5000\n",
    "p_TSSE = (\"%.2f\" % pc)\n",
    "fig = plt.figure(figsize=(10,8))\n",
    "ax = fig.add_subplot(111)\n",
    "plt.hist(TSSE_list, bins=20, density=True, color=\"b\", edgecolor='k')\n",
    "plt.axvline(T_SSE_obs, color=\"r\", linewidth=2)\n",
    "plt.text(0.9, 0.9,'p=%s'%p_TSSE, color='red', ha='center', transform=ax.transAxes, fontsize=20)\n",
    "ax.set_xlabel(\"$T_{SSE}\\ statistic$\",fontsize=15)\n",
    "ax.set_ylabel(\"Density\",fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 均匀先验\n",
    "\n",
    "def lnprior(theta):\n",
    "    log_A,log_f_b,alpha_H,poisson = theta\n",
    "    alpha_L = 1.0\n",
    "    if -3 < log_A < -1 and -6 < log_f_b < -2 and 0.0 < alpha_H < 6.0 and 0.0 < poisson < 1.0:\n",
    "        return 0.0\n",
    "    return -np.inf\n",
    "\n",
    "# 后验概率？\n",
    "\n",
    "def lnprob(theta):\n",
    "    log_A,log_f_b,alpha_H,poisson = theta\n",
    "    lp = lnprior(theta)\n",
    "    if not np.isfinite(lp):\n",
    "        return -np.inf\n",
    "    return (lp - 0.5* twi_minus_loglikelihood(log_A,log_f_b,alpha_H,poisson))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[##############################]\n",
      "Serial took 937.6 seconds\n"
     ]
    }
   ],
   "source": [
    "# emcee\n",
    "\n",
    "ndim, nwalkers = 4, 100\n",
    "pos = [[m.values[0],m.values[1],m.values[2],m.values[3]] + 1e-4*np.random.randn(ndim) for i in range(nwalkers)]\n",
    "sampler = emcee.EnsembleSampler(nwalkers, ndim, lnprob)\n",
    "\n",
    "\n",
    "# 显示进度并记录时间\n",
    "import sys\n",
    "\n",
    "nsteps = 500\n",
    "width = 30\n",
    "start = time.time()\n",
    "for i, result in enumerate(sampler.sample(pos, iterations=nsteps)):\n",
    "    z = int((width+1) * float(i) / nsteps)\n",
    "    sys.stdout.write(\"\\r[{0}{1}]\".format('#' * z, ' ' * (width - z)))\n",
    "sys.stdout.write(\"\\n\")\n",
    "end = time.time()\n",
    "multi_time = end - start\n",
    "print(\"Serial took {0:.1f} seconds\".format(multi_time))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x504 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(4, figsize=(10, 7), sharex=True)\n",
    "samples = sampler.chain\n",
    "labels = [\"log_A\", \"log_f_b\", \"alpha_H\",\"poisson\"]\n",
    "for i in range(ndim):\n",
    "    ax = axes[i]\n",
    "    ax.plot(np.transpose(samples[:,:,i]), \"k\", alpha=0.3)\n",
    "    ax.set_xlim(0, len(samples[1]))\n",
    "    ax.set_ylabel(labels[i])\n",
    "    ax.yaxis.set_label_coords(-0.1, 0.5)\n",
    "\n",
    "axes[-1].set_xlabel(\"step number\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\mathrm{log A} = -2.31797_{-0.14870} ^{+0.31221}$$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$$\\mathrm{log f_b} = -3.17297_{-0.86017} ^{+0.30064}$$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$$\\mathrm{alpha_H} = 1.90182_{-0.34035} ^{+0.58626}$$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$$\\mathrm{poisson} = 0.37858_{-0.05440} ^{+0.05366}$$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples = sampler.chain[:, 100:, :].reshape((-1, ndim))\n",
    "\n",
    "labels = [\"log A\", \"log f_b\", \"alpha_H\",\"poisson\"]\n",
    "\n",
    "from IPython.display import display, Math\n",
    "\n",
    "for i in range(ndim):\n",
    "    mcmc = np.percentile(samples[:, i], [16, 50, 84])\n",
    "    q = np.diff(mcmc)\n",
    "    txt = \"\\mathrm{{{3}}} = {0:.5f}_{{-{1:.5f}}} ^{{+{2:.5f}}}\"\n",
    "    txt = txt.format(mcmc[1], q[0], q[1], labels[i])\n",
    "    display(Math(txt))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 698.4x698.4 with 16 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import corner\n",
    "fig = corner.corner(samples, labels=[\"$log A$\", \"$log f_b$\", \"$alpha_H$\", \"$poisson$\"],\n",
    "                      truths=[m.values[0], m.values[1], m.values[2], m.values[3]])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#\n",
    "\n",
    "#\n",
    "\n",
    "#\n",
    "\n",
    "#\n",
    "\n",
    "#"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "def twi_minus_loglikelihood_nobreak(log_A,alpha,poisson):\n",
    "    alpha_L = 1.0\n",
    "    \n",
    "    perdata142 = pd.read_csv(\"perlist142.csv\")\n",
    "    f = perdata142['f']\n",
    "    per = perdata142['per']\n",
    "            \n",
    "    model = []\n",
    "    f_length = len(f)\n",
    "    for i in range(f_length):\n",
    "        model.append((f[i]**(-alpha))*(10**log_A)+poisson)\n",
    "     \n",
    "    \n",
    "    length = len(perdata142)\n",
    "    minus_log_p = 0\n",
    "    for i in range(length):\n",
    "        minus_log_p += (per[i]/model[i]+math.log(model[i]))\n",
    "    \n",
    "    \n",
    "    D = 2*minus_log_p\n",
    "    # print (D)\n",
    "    return D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<hr>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <td title=\"Minimum value of function\">FCN = 846.3575757935381</td>\n",
       "        <td title=\"Total number of call to FCN so far\">TOTAL NCALL = 162</td>\n",
       "        <td title=\"Number of call in last migrad\">NCALLS = 162</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td title=\"Estimated distance to minimum\">EDM = 1.7714694230592013e-06</td>\n",
       "        <td title=\"Maximum EDM definition of convergence\">GOAL EDM = 1e-05</td>\n",
       "        <td title=\"Error def. Amount of increase in FCN to be defined as 1 standard deviation\">\n",
       "        UP = 1.0</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<table>\n",
       "    <tr>\n",
       "        <td align=\"center\" title=\"Validity of the migrad call\">Valid</td>\n",
       "        <td align=\"center\" title=\"Validity of parameters\">Valid Param</td>\n",
       "        <td align=\"center\" title=\"Is Covariance matrix accurate?\">Accurate Covar</td>\n",
       "        <td align=\"center\" title=\"Positive definiteness of covariance matrix\">PosDef</td>\n",
       "        <td align=\"center\" title=\"Was covariance matrix made posdef by adding diagonal element\">Made PosDef</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td align=\"center\" title=\"Was last hesse call fail?\">Hesse Fail</td>\n",
       "        <td align=\"center\" title=\"Validity of covariance\">HasCov</td>\n",
       "        <td align=\"center\" title=\"Is EDM above goal EDM?\">Above EDM</td>\n",
       "        <td align=\"center\"></td>\n",
       "        <td align=\"center\" title=\"Did last migrad call reach max call limit?\">Reach calllim</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">False</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">True</td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">False</td>\n",
       "        <td align=\"center\"></td>\n",
       "        <td align=\"center\" style=\"background-color:#92CCA6\">False</td>\n",
       "    </tr>\n",
       "</table>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <td><a href=\"#\" onclick=\"$('#tkYanGhqqA').toggle()\">+</a></td>\n",
       "        <td title=\"Variable name\">Name</td>\n",
       "        <td title=\"Value of parameter\">Value</td>\n",
       "        <td title=\"Hesse error\">Hesse Error</td>\n",
       "        <td title=\"Minos lower error\">Minos Error-</td>\n",
       "        <td title=\"Minos upper error\">Minos Error+</td>\n",
       "        <td title=\"Lower limit of the parameter\">Limit-</td>\n",
       "        <td title=\"Upper limit of the parameter\">Limit+</td>\n",
       "        <td title=\"Is the parameter fixed in the fit\">Fixed?</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>0</td>\n",
       "        <td>log_A</td>\n",
       "        <td>-3.87045</td>\n",
       "        <td>0.335936</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>-10</td>\n",
       "        <td>-1</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>1</td>\n",
       "        <td>alpha</td>\n",
       "        <td>1.38159</td>\n",
       "        <td>0.106051</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>1</td>\n",
       "        <td>5</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>2</td>\n",
       "        <td>poisson</td>\n",
       "        <td>0.31585</td>\n",
       "        <td>0.044265</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>0</td>\n",
       "        <td>1</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<pre id=\"tkYanGhqqA\" style=\"display:none;\">\n",
       "<textarea rows=\"12\" cols=\"50\" onclick=\"this.select()\" readonly>\n",
       "\\begin{tabular}{|c|r|r|r|r|r|r|r|c|}\n",
       "\\hline\n",
       " & Name & Value & Hesse Error & Minos Error- & Minos Error+ & Limit- & Limit+ & Fixed?\\\\\n",
       "\\hline\n",
       "0 & $log_{A}$ & -3.87045 & 0.335936 &  &  & -10.0 & -1 & No\\\\\n",
       "\\hline\n",
       "1 & $\\alpha$ & 1.38159 & 0.106051 &  &  & 1.0 & 5 & No\\\\\n",
       "\\hline\n",
       "2 & poisson & 0.31585 & 0.044265 &  &  & 0.0 & 1 & No\\\\\n",
       "\\hline\n",
       "\\end{tabular}\n",
       "</textarea>\n",
       "</pre>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<hr>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "846.3575757935381\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <td><a href=\"#\" onclick=\"$('#bkEwdvpBXL').toggle()\">+</a></td>\n",
       "        <td title=\"Variable name\">Name</td>\n",
       "        <td title=\"Value of parameter\">Value</td>\n",
       "        <td title=\"Hesse error\">Hesse Error</td>\n",
       "        <td title=\"Minos lower error\">Minos Error-</td>\n",
       "        <td title=\"Minos upper error\">Minos Error+</td>\n",
       "        <td title=\"Lower limit of the parameter\">Limit-</td>\n",
       "        <td title=\"Upper limit of the parameter\">Limit+</td>\n",
       "        <td title=\"Is the parameter fixed in the fit\">Fixed?</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>0</td>\n",
       "        <td>log_A</td>\n",
       "        <td>-3.87045</td>\n",
       "        <td>0.335936</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>-10</td>\n",
       "        <td>-1</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>1</td>\n",
       "        <td>alpha</td>\n",
       "        <td>1.38159</td>\n",
       "        <td>0.106051</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>1</td>\n",
       "        <td>5</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>2</td>\n",
       "        <td>poisson</td>\n",
       "        <td>0.31585</td>\n",
       "        <td>0.044265</td>\n",
       "        <td></td>\n",
       "        <td></td>\n",
       "        <td>0</td>\n",
       "        <td>1</td>\n",
       "        <td>No</td>\n",
       "    </tr>\n",
       "</table>\n",
       "<pre id=\"bkEwdvpBXL\" style=\"display:none;\">\n",
       "<textarea rows=\"12\" cols=\"50\" onclick=\"this.select()\" readonly>\n",
       "\\begin{tabular}{|c|r|r|r|r|r|r|r|c|}\n",
       "\\hline\n",
       " & Name & Value & Hesse Error & Minos Error- & Minos Error+ & Limit- & Limit+ & Fixed?\\\\\n",
       "\\hline\n",
       "0 & $log_{A}$ & -3.87045 & 0.335936 &  &  & -10.0 & -1 & No\\\\\n",
       "\\hline\n",
       "1 & $\\alpha$ & 1.38159 & 0.106051 &  &  & 1.0 & 5 & No\\\\\n",
       "\\hline\n",
       "2 & poisson & 0.31585 & 0.044265 &  &  & 0.0 & 1 & No\\\\\n",
       "\\hline\n",
       "\\end{tabular}\n",
       "</textarea>\n",
       "</pre>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n=Minuit(twi_minus_loglikelihood_nobreak,log_A=-9,alpha=2.0,poisson=1.0,\n",
    "         error_log_A=0.1,error_alpha=0.01,error_poisson=0.01,\n",
    "         limit_log_A=(-10,-1),limit_alpha=(1.0,5.0),limit_poisson=(0,1),\n",
    "         errordef=1)\n",
    "\n",
    "n.migrad()\n",
    "\n",
    "print(n.fval)\n",
    "n.print_param()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "log_A,alpha,poisson = n.values[0],n.values[1],n.values[2]\n",
    "        \n",
    "model2 = []\n",
    "R_obs_2 = []\n",
    "T_SSE_obs_2 = 0\n",
    "f_length = len(f)\n",
    "for i in range(f_length):\n",
    "    model2.append((f[i]**(-alpha))*(10**log_A)+poisson)\n",
    "    R_obs_2.append(2*per[i]/model2[i])\n",
    "    T_SSE_obs_2 += (((per[i]-model2[i])/model2[i])**2)\n",
    "    \n",
    "plt.figure(figsize=(10,8))\n",
    "plt.loglog()\n",
    "plt.step(f, per, color=\"b\", alpha=0.5, linewidth=1)\n",
    "plt.plot(f, model2, color=\"r\", linewidth=1)\n",
    "plt.xlabel(\"frequency\",fontsize=13)\n",
    "plt.ylabel(\"power\",fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "T_R = 12.952405483699902\n",
      "T_SSE = 555.5984077672828\n"
     ]
    }
   ],
   "source": [
    "# 两个统计量\n",
    "T_R_obs_2 = max(R_obs_2)\n",
    "print (\"T_R =\", T_R_obs_2)\n",
    "print (\"T_SSE =\", T_SSE_obs_2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 模拟\n",
    "    \n",
    "# 5000条光变曲线\n",
    "\n",
    "df = 0.01/f_length\n",
    "N = 2*f_length\n",
    "\n",
    "\n",
    "counts_list_2=[None for i in range(5000)]\n",
    "for a in range(5000): \n",
    "    omega = []\n",
    "    POW = []\n",
    "    DFT = []\n",
    "    fr = []\n",
    "    fi = []\n",
    "    f1 = []\n",
    "    for j in range(1,N+1):\n",
    "        omega.append(j*df)\n",
    "        POW.append(((omega[-1]**(-alpha_L))/(1+(omega[-1]/(10**log_f_b))**(alpha_H-alpha_L)))*(10**log_A)+poisson)\n",
    "        DFT.append(complex(np.sqrt(POW[-1]*0.5),np.sqrt(POW[-1]*0.5)))\n",
    "        s1=np.random.normal(loc=0.0, scale=1.0, size=None)\n",
    "        s2=np.random.normal(loc=0.0, scale=1.0, size=None)\n",
    "        fr.append((DFT[-1].real)*s1)\n",
    "        fi.append((DFT[-1].imag)*s2)\n",
    "        f1.append(complex(fr[-1],fi[-1]))\n",
    "    counts = ifft(f1)\n",
    "    counts_list_2[a] = counts\n",
    "    \n",
    "    \n",
    "#周期图\n",
    "per_list_2=[None for i in range(5000)]\n",
    "TR_list_2=[]\n",
    "TSSE_list_2=[]\n",
    "n_TR_2 = 0\n",
    "n_TSSE_2 = 0\n",
    "\n",
    "for a in range(5000):\n",
    "    dft = fft(counts_list_2[a])\n",
    "    dft1 = dft[0:f_length]\n",
    "    per_simu = (abs(dft1)**2)\n",
    "    per_list_2[a] = per_simu\n",
    "    R_simu = []\n",
    "    T_SSE_simu = 0\n",
    "    for i in range(f_length):\n",
    "        R_simu.append(2*per_simu[i]/model[i])\n",
    "        T_SSE_simu += (((per_simu[i]-model[i])/model[i])**2)\n",
    "    TR_list_2.append(max(R_simu))\n",
    "    TSSE_list_2.append(T_SSE_simu)\n",
    "    if TR_list_2[-1]>T_R_obs_2:\n",
    "        n_TR_2 += 1\n",
    "    if TSSE_list_2[-1]>T_SSE_obs_2:\n",
    "        n_TSSE_2 += 1\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pc = n_TR_2/5000\n",
    "p_TR_2 = (\"%.2f\" % pc)\n",
    "fig = plt.figure(figsize=(10,8))\n",
    "ax = fig.add_subplot(111)\n",
    "plt.hist(TR_list_2, bins=20, density=True, color=\"b\", edgecolor='k')\n",
    "plt.axvline(T_R_obs_2, color=\"r\", linewidth=2)\n",
    "plt.text(0.9, 0.9,'p=%s'%p_TR_2, color='red', ha='center', transform=ax.transAxes, fontsize=20)\n",
    "ax.set_xlabel(\"$T_R\\ statistic$\",fontsize=15)\n",
    "ax.set_ylabel(\"Density\",fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnwAAAHsCAYAAABIY3CIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAIABJREFUeJzt3X+4XWV95/33p4mkAoKAgVDAnozEKihFOaKOVi2MGhw1tGKNj52iRXFmoLa2tsV6aSvX+FSmUpw+WCsCijxtAXnGMToqKtCrtVXkBKkYfpQIQSJ4CD9EpDVM4Pv8sdaRzWGfnN/7nLPyfl3Xvvbe97rXve6VlR0+3OvHnapCkiRJ3fUzC90BSZIkzS8DnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6rjlC92BxeYpT3lKDQ0NLXQ3JEnSUrZxY/N+1FHzvJmNd1fVysnqDTzwJVkL/A9gGXBuVX1w3PIVwKeAo4B7gDdU1ZYkLwc+COwGPAT8flVd0a5zFPBJ4InAF4DfrqpKsi9wMTAEbAF+raru21n/hoaGGBkZmZudlSRJu6akeZ/nTJHktqnUG+gp3STLgI8AxwGHAW9Mcti4aicB91XVocBZwBlt+d3Aa6rq2cCJwIU963wUOBlY077WtuWnAZdX1Rrg8va7JEnSLmXQ1/AdDWyuqluq6iHgImDduDrrgAvaz5cCxyZJVX2rqu5oyzcBP5tkRZIDgb2q6utVVTSjg8f3aeuCnnJJkqRdxqAD30HA7T3ft7ZlfetU1Q7gfmC/cXVeB3yrqra39bdO0OYBVXVn29adwP79OpXk5CQjSUa2bds27Z2SJElazAYd+NKnrKZTJ8nhNKd53z6NNneqqs6pquGqGl65ctLrHiVJkpaUQQe+rcAhPd8PBu6YqE6S5cDewL3t94OBzwC/UVXf7al/8ARtjranfGnf75qzPZEkSVoiBh34rgbWJFmdZDdgPbBhXJ0NNDdlAJwAXNHecftk4H8D766qfxyr3J6qfSDJC5IE+A3gs33aOrGnXJIkaZcx0MDXXpN3KnAZcANwSVVtSnJ6kte21c4D9kuyGfhdHr2z9lTgUOC9Sa5tX2PX5P0X4FxgM/Bd4Itt+QeBlye5GRh7rIskSdIuJc2NrRozPDxcPodPkiTNythz+OY5ZyXZWFXDk9VzajVJkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx82iWtWjVEkhm/Vq0aWuhdkCRpypYvdAekhTA6ehsw8wmtR0czd52RJGmeOcInSZLUcQY+SZKkjjPwSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkSVJ3XHABHH007Lkn7L03vOxl8PnPz6ytz3++WX/vvZv2nv/8pv2pbH/MbLY/hwx8kiSpG971Lnjzm+HOO+Ftb4Nf/3W47jp4zWvg7LOn19bZZzfrfec7TTtvexvccUfT/rveNfn2x8x0+3MsVTOfbaCLhoeHa2RkZKG7oXmWhNnMtAHB344kLSL/9E/wohfB054GV18N++zTlG/ZAkcdBQ8+CDfeCENDk7e1ZQs84xmwxx6wceOj69x3HzzvefDd7zbbe+ELJ97+vvs25bfeOv3tT0OSjVU1PFk9R/gkSdLc2rIFkma068Yb4fjjmwC0xx7w4hfDl78899v8q79q3t/znkfDHjQB65RTYPt2+MQnptbW+ec39U899bEBbZ994I/+6LHbm4/tzwMDnyRJmh+33tqMgt1zD7z97fD61zcjZscdBxdfPLfbuuKK5n3t2scvO+64x9aZj7bmcvvzwFO643hKd9fgKV1JmkdbtsDq1c3nd70L/uzPHl02MtKEwD33hNtug732gh/+ED784elt4/jj4cgjm88PPti0t+ee8MADj697992wciXsvz+Mjk7e9sqVzTp33w377ff45Xvu2WzzwQdh9937bz9p3qumv/1pmOop3eVzulVJkqQxe+8N73vfY8uGh+FNb2ruZv3MZ+DEE5vA9/73T6/toaFHA9/99z+6vYn6Ac12pmIq7T34YFNv993nfvvzwFO6kiRpfjz3ufCkJz2+/GUva96/9a3mfWioGQmbzuvNb55+f8ZG3WZr7AzPdNubq+3PgIFPkiTNjwMO6F++alXzPjYyNltjI2gTtTfZCNx02/vRj5r3vfaan+3PA0/pSpKk+THR9Wo/+EHz3nuqczbX8O2xBxx0EHz/+80z8A488LF1b765eX/606fW9i/8QnPd3b/8y2MfvQJN+w8+CAcf3JzOnY/tzwMDnzQjK9obP2bmgAN+nh/8YMvcdUeSFqNrrmluYhh/Wvfv/q55f85zmvfZXsMHcMwxcOGF8KUvwVve8ti6X/zio3Wm4phj4B//sWlrfOCbqK253P488C7dcbxLd9cwF3fpepevJE1gKnfp7rEHfO97j54Wna2ZPHh57E7cpzyleY259VZ45jN98LIkSdKkXvISOPfc5v3d725utPilX4JHHoGPfWzuwh7Av//38Lu/24SxI46Ad76zeeDx8DDcey986EOPD1tnn90Eu/HTnq1e3YTUe+9t1j/llKa9I45o2v+933v8yN/47Y/Z2fYHyMAnSZLmx+rVzcjXPvs0M1Fccklz5+4XvgBveMPcb+/MM+GTn2xuCjnnHPjUp+Dww+Fzn2tmzZiO3/ot2LChWf9Tn2raW7Wqaf9DH5p8+2Nmuv055indcTylu2vwlK4kzaOxU7onntgEoF1R74OX53UzntKVJEkSBj5JkqTOM/BJkiR1nM/hkyRJc2tsqjQtGo7wSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkSZI6buCBL8naJDcl2ZzktD7LVyS5uF1+VZKhtny/JFcm+XGSs3vqPynJtT2vu5N8uF325iTbepa9dVD7KUmStFgM9Dl8SZYBHwFeDmwFrk6yoaqu76l2EnBfVR2aZD1wBvAG4CfAe4FntS8AquoB4MiebWwE/mdPexdX1cLOWCxJkrSABj3CdzSwuapuqaqHgIuAdePqrAMuaD9fChybJFX1YFV9jSb49ZVkDbA/8A9z33VJkqSladCB7yDg9p7vW9uyvnWqagdwP7DfFNt/I82IXu/jvV+X5NtJLk1ySL+VkpycZCTJyLZt26a4KUmSpKVh0IEvfcrGz70ylToTWQ/8bc/3zwFDVXUE8FUeHTl8bONV51TVcFUNr1y5coqbkiRJWhoGHfi2Ar2jbAcDd0xUJ8lyYG/g3skaTvKLwPKq2jhWVlX3VNX29uvHgaNm3nVJkqSladCB72pgTZLVSXajGZHbMK7OBuDE9vMJwBXjTtFO5I08dnSPJAf2fH0tcMOMei1JkrSEDfQu3arakeRU4DJgGXB+VW1KcjowUlUbgPOAC5NsphnZWz+2fpItwF7AbkmOB17Rc4fvrwGvGrfJdyR5LbCjbevN87ZzkiRJi1SmNni26xgeHq6RkZGF7obmWRKmfmlo3xZmvb6/PUnqsLS3JMzzv/VJNlbV8GT1nGlDkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj4tSatWDZFkxi9JknYlyxe6A9JMjI7eBtQsWjD0SZJ2HY7wSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkSZI6zsAnSZLUcQY+SZKkjjPwSZIkdZyBT1oQK2Y1NdyqVUMLvQOSpCXEqdWkBbGd2UwNNzrq1HCSpKlzhE+SJKnjDHySJEkdN/DAl2RtkpuSbE5yWp/lK5Jc3C6/KslQW75fkiuT/DjJ2ePW+bu2zWvb1/47a0uSJGlXMtDAl2QZ8BHgOOAw4I1JDhtX7STgvqo6FDgLOKMt/wnwXuBdEzT/pqo6sn3dNUlbkiRJu4xBj/AdDWyuqluq6iHgImDduDrrgAvaz5cCxyZJVT1YVV+jCX5T1betmXdfkiRp6Rl04DsIuL3n+9a2rG+dqtoB3A/sN4W2P9Gezn1vT6ibUltJTk4ykmRk27Zt09kfSZKkRW/Qga/f6Nr4Z1NMpc54b6qqZwO/1L7+03Taqqpzqmq4qoZXrlw5yaYkSZKWlkEHvq3AIT3fDwbumKhOkuXA3sC9O2u0qr7fvj8A/A3NqeMZtSVJktQ1gw58VwNrkqxOshuwHtgwrs4G4MT28wnAFVU14QhfkuVJntJ+fgLwauA7M2lLkiSpiwY600ZV7UhyKnAZsAw4v6o2JTkdGKmqDcB5wIVJNtOMxq0fWz/JFmAvYLckxwOvAG4DLmvD3jLgq8DH21UmbEuSJGlXEQe8Hmt4eLhGRkYWuhuaRHNfzmz+7i799f3tStIiNnb/6Dz/W51kY1UNT1bPmTYkSZI6zsAnSZLUcQY+SZKkjjPwSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkSZI6zsAnSZLUcQY+SZKkjjPwSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkSZI6zsAnSZLUcQY+SZKkjjPwSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkSZI6zsAnSZLUcQY+SZKkjjPwSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkSZI6zsAnSZLUcQY+SZKkjjPwSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkSZI6zsAnSZLUcQY+SZKkjjPwSZIkddzAA1+StUluSrI5yWl9lq9IcnG7/KokQ235fkmuTPLjJGf31N89yf9OcmOSTUk+2LPszUm2Jbm2fb11EPsoSZK0mAw08CVZBnwEOA44DHhjksPGVTsJuK+qDgXOAs5oy38CvBd4V5+mP1RVzwCeA7woyXE9yy6uqiPb17lzuDuSJElLwqBH+I4GNlfVLVX1EHARsG5cnXXABe3nS4Fjk6SqHqyqr9EEv5+qqn+tqivbzw8B1wAHz+dOSAtvBUlm/Fq1amihd0CSNECDDnwHAbf3fN/alvWtU1U7gPuB/abSeJInA68BLu8pfl2Sbye5NMkhM+24tLhsB2rGr9HR2xagz5KkhTLowJc+ZTWDOo9vOFkO/C3wF1V1S1v8OWCoqo4AvsqjI4fj1z05yUiSkW3btk22KUmSpCVl0IFvK9A7ynYwcMdEddoQtzdw7xTaPge4uao+PFZQVfdU1fb268eBo/qtWFXnVNVwVQ2vXLlySjsiSZK0VAw68F0NrEmyOsluwHpgw7g6G4AT288nAFdU1U5H+JL8N5pg+Dvjyg/s+fpa4IZZ9F2SJGlJWj7IjVXVjiSnApcBy4Dzq2pTktOBkaraAJwHXJhkM83I3vqx9ZNsAfYCdktyPPAK4EfAe4AbgWuSAJzd3pH7jiSvBXa0bb15IDsqSZK0iGSSwbNdzvDwcI2MjCx0NzSJJtjP5u+u6/vbl6R5lPaWhHn+tzbJxqoanqyeM21IkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjpuWoEvyaVJXpXEoChJkrRETDe4rQQ+B2xN8sEkz5iHPkmSJGkOTSvwVdVLgTXAucAbgE1J/inJW5M8aT46KEmSpNmZ9qnZqrqlqt5XVauBVwCbgbOAO5NckORlc9xHSZIkzcJsr8X7BnAlcBOwO3AMcEWSa5M8Z7adkyRJ0uzNKPAleWmSTwA/AM4Evgk8r6oOAZ4F3AN8as56KUmSpBlbPp3KSd4LvBkYAv4B+K/Ap6vqJ2N1qur6tt4/zF03JUmSNFPTCnzAfwYuAM6vqs07qXcj8Jsz7pUkSZLmzHQD31Or6uHJKlXVvTTBUJIkSQtsutfwPZTk6H4LkhyVZNIwKEmSpMGabuDLTpY9Adgxi75IkiRpHkx6SjfJU2lu0hjznCQ/O67azwInArfOXdckSZI0F6ZyDd9bgD8Gqn19dIJ6/wa8dY76JUmSpDkylcD3l8ClNKdzvw28qX3v9RDwvaraPrfdkyRJ0mxNGviqahuwDSDJauDOqnpovjsmSZKkuTGVa/h2r6p/bb9uA5YnmXC9nrqSJElaBKZySveBJC+sqm8CP6a5jm9nls2+W5IkSZorUwl8vwl8t+fzZIFPkiRJi8hUruG7oOfzJ+e1N5IkSZpz05parb12b1nv3bhJXgEcBvx9VV0zx/2TJEnSLE13Lt2LgftpTu2S5B3Ah4HtwLIkv1pVn5/bLkqSJGk2pju12guAL/R8/33gzKp6InAu8J656pgkSZLmxnQD337ADwCSPBv4OeCv2mWfpjm1K0mSpEVkuoFvlEfn1V0L3FZVY3fwPhF4ZLIGkqxNclOSzUlO67N8RZKL2+VXJRlqy/dLcmWSHyc5e9w6RyW5rl3nL5KkLd83yVeS3Ny+7zPN/ZUkSVryphv4Pg2ckeTPgD8EPtWz7DnAzTtbOcky4CPAcTSjgW9MMn5U8CTgvqo6FDgLOKMt/wnwXuBdfZr+KHAysKZ9rW3LTwMur6o1wOXtd0mSpF3KdAPfacDHgGfQhKw/7Vl2FM1NHTtzNLC5qm5pp2e7CFg3rs46YOxRMJcCxyZJVT1YVV+jCX4/leRAYK+q+npVFU0IPb5PWxf0lEuSJO0ypnWXblXtAE6fYNmvTqGJg4Dbe75vBZ4/UZ2q2pHkfpprB+/eSZtbx7V5UPv5gKq6s23rziT7T6GPGoBVq4YYHb1tobshSdIuYbqPZfmp9pl8u40vn2Qu3fQpGz9zx1TqzKb+4xtITqY5JcxTn/rU6ayqGWrC3mwmbel32CVJUj/TOqWbZK8kZye5g+bU6gN9XjuzFTik5/vBwB0T1WlD5d7AvZO0efAEbY62p3zHTv3e1a+BqjqnqoaranjlypWT7IIkSdLSMt0Rvo8Br6Z55t71wEPTXP9qYE2S1cD3gfXA/zWuzgbgRODrwAnAFe21eX21p2ofSPIC4CrgN4D/Z1xbH2zfPzvN/kqSJC150w18rwTeWVXnzmRj7TV5pwKXAcuA86tqU5LTgZGq2gCcB1yYZDPNyN76sfWTbAH2AnZLcjzwiqq6HvgvwCdpHg3zxfYFTdC7JMlJwPeA18+k35IkSUvZdAPfgzz2Bolpq6ov8NjZOqiq9/V8/gkTBLOqGpqgfAR4Vp/ye4BjZ9FdSZKkJW+6j2U5E/ivSaa7niRJkhbIdEf4DgJ+EbgpyZXAD8ctr6r6wznpmSRJkubEdAPfCTTTpy0HXt5nedHMwCFJkqRFYroPXl49Xx2RJEnS/PBaPEmSpI6bduBLckSSi5N8N8n2JM9tyz+Q5Li576IkSZJmY7ozbRwHbARWAZ8CntCzeDvwW3PXNUmSJM2F6Y7w/Snwyap6KfCBccuuBY6ck15JkiRpzkw38D0DuLj9PH66sx8B+866R5IkSZpT0w18dwH/boJlh9NMXyZJkqRFZLqB7yLg9CQv7imrJE+nef7eX89ZzyRJkjQnpvvg5fcChwF/D9zZln2W5iaOLwP/99x1TZIkSXNhug9e3g68OskxwH8AngLcC1xeVV+Zh/5JkiRplqYc+JKEZjq1FwAHtMVbga8DX537rkmSJGkuTCnwJXkOzd25TwMeBu4GAuwHLANuTrK+qq6dr45KkiRpZia9aSPJAcBlwL8BrwL2rKqfq6oDgScBrwYeAi5Lsv98dlaSJEnTN5W7dH+LJuz9UlVdVlUPjS2oqu1V9UXgJW2dU+enm5IkSZqpqQS+VwB/WVU/mqhCVf0Q+Ciwdq46JkmSpLkxlcB3KHDNFOptbOtKkiRpEZlK4NsbuH8K9R4A9ppddyRJkjTXphL4wuPnzd1ZXUmSJC0iU30O32VJdsxRW5IkSRqgqYS09897LyRJkjRvJg18VWXgkyRJWsKmcg2fJEmSljADnyRJUscZ+CRJkjrOwCdJktRxBj5pl7SCJDN+rVo1tNA7IEmaBp+dJ+2StjP156k/3uioz1iXpKXEET5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjpu4IEvydokNyXZnOS0PstXJLm4XX5VkqGeZe9uy29K8sq27BeSXNvz+lGS32mX/UmS7/cse9Wg9lOSJGmxWD7IjSVZBnwEeDmwFbg6yYaqur6n2knAfVV1aJL1wBnAG5IcBqwHDgd+DvhqkqdX1U3AkT3tfx/4TE97Z1XVh+Z73yRJkharQY/wHQ1srqpbquoh4CJg3bg664AL2s+XAscmSVt+UVVtr6pbgc1te72OBb5bVbfN2x5IkiQtMYMOfAcBt/d839qW9a1TVTuA+4H9prjueuBvx5WdmuTbSc5Pss/sui9JkrT0DDrwpU9ZTbHOTtdNshvwWuDTPcs/CjyN5pTvncCZfTuVnJxkJMnItm3bJu69JEnSEjTowLcVOKTn+8HAHRPVSbIc2Bu4dwrrHgdcU1WjYwVVNVpVD1fVI8DHefwp4LF651TVcFUNr1y5ckY7JkmStFgNOvBdDaxJsrodkVsPbBhXZwNwYvv5BOCKqqq2fH17F+9qYA3wzZ713si407lJDuz5+ivAd+ZsTyRJkpaIgd6lW1U7kpwKXAYsA86vqk1JTgdGqmoDcB5wYZLNNCN769t1NyW5BLge2AGcUlUPAyTZnebO37eP2+R/T3IkzanfLX2WS5IkdV6awTONGR4erpGRkYXuRuc1N17P5u+e6y/0+v7bIUk7kfbWg3n+tzLJxqoanqyeM21IkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkzQDK0gy49eqVUMLvQOStEtZvtAdkLQUbQdqxmuPjmbuuiJJmpQjfJIkSR1n4JMkSeo4A58kSVLHGfgkSZI6zsAnSZLUcQY+SZKkjjPwSZIkdZyBT5IkqeMGHviSrE1yU5LNSU7rs3xFkovb5VclGepZ9u62/KYkr+wp35LkuiTXJhnpKd83yVeS3Ny+7zPf+ydJkrTYDDTwJVkGfAQ4DjgMeGOSw8ZVOwm4r6oOBc4CzmjXPQxYDxwOrAX+sm1vzC9X1ZFVNdxTdhpweVWtAS5vv0uSJO1SBj3CdzSwuapuqaqHgIuAdePqrAMuaD9fChybJG35RVW1vapuBTa37e1Mb1sXAMfPwT5IkiQtKYMOfAcBt/d839qW9a1TVTuA+4H9Jlm3gC8n2Zjk5J46B1TVnW1bdwL79+tUkpOTjCQZ2bZt24x2TJIkabEadODrN2P6+BnYJ6qzs3VfVFXPpTlVfEqSl0ynU1V1TlUNV9XwypUrp7OqJEnSojfowLcVOKTn+8HAHRPVSbIc2Bu4d2frVtXY+13AZ3j0VO9okgPbtg4E7prDfdmlrVo1RJIZvyRJ0uAMOvBdDaxJsjrJbjQ3YWwYV2cDcGL7+QTgiqqqtnx9exfvamAN8M0keyR5EkCSPYBXAN/p09aJwGfnab92OaOjt9EMsM70JUmSBmX5IDdWVTuSnApcBiwDzq+qTUlOB0aqagNwHnBhks00I3vr23U3JbkEuB7YAZxSVQ8nOQD4TDtqtBz4m6r6UrvJDwKXJDkJ+B7w+oHtrCRJ0iKRZvBMY4aHh2tkZGTyiru4JmDP5u+O6+/q6/tvj6ROG7t8aZ7/rUuycdwj6fpypg1JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kiRJHWfgkyRJ6jgDnyRJUscZ+CQtgBUkmfFr1aqhhd4BSVpSli90ByTtirYDNeO1R0czd12RpF2AI3ySJEkdZ+CTJEnqOAOfJElSxxn4JEmSOs7AJ0mS1HEGPkmSpI4z8EmSJHWcgU+SJKnjDHySJEkdZ+CTJEnqOAOfJElSxxn4JEmSOs7AJ0mS1HEGPkmSpI4z8EmSJHWcgU+SJKnjDHySJEkdZ+CTJEnqOAOfJElSxxn4JEmSOs7AJ0mS1HEDD3xJ1ia5KcnmJKf1Wb4iycXt8quSDPUse3dbflOSV7ZlhyS5MskNSTYl+e2e+n+S5PtJrm1frxrEPkqSJC0mywe5sSTLgI8ALwe2Alcn2VBV1/dUOwm4r6oOTbIeOAN4Q5LDgPXA4cDPAV9N8nRgB/B7VXVNkicBG5N8pafNs6rqQ4PZQ0mSpMVn0CN8RwObq+qWqnoIuAhYN67OOuCC9vOlwLFJ0pZfVFXbq+pWYDNwdFXdWVXXAFTVA8ANwEED2BdJkqQlYdCB7yDg9p7vW3l8OPtpnaraAdwP7DeVddugjClzAAANXElEQVTTv88BruopPjXJt5Ocn2Sffp1KcnKSkSQj27Ztm+4+SZIkLWqDDnzpU1ZTrLPTdZPsCfx/wO9U1Y/a4o8CTwOOBO4EzuzXqao6p6qGq2p45cqVO98DSZKkJWbQgW8rcEjP94OBOyaqk2Q5sDdw787WTfIEmrD311X1P8cqVNVoVT1cVY8AH6c5pSxJkrRLGXTguxpYk2R1kt1obsLYMK7OBuDE9vMJwBVVVW35+vYu3tXAGuCb7fV95wE3VNWf9zaU5MCer78CfGfO90iSJGmRG+hdulW1I8mpwGXAMuD8qtqU5HRgpKo20IS3C5NsphnZW9+uuynJJcD1NHfmnlJVDyd5MfCfgOuSXNtu6o+q6gvAf09yJM2p3y3A2we2s5IkSYtEmsEzjRkeHq6RkZGF7sai1wyszubvjuu7/uzW998uSYta2lsP5vnfqiQbq2p4snrOtCFJktRxBj5JkqSOM/BJkiR1nIFPkiSp4wx8kpagFSSZ1WvVqqGF3glJGpiBPpZFkubGdmZ3ly+MjvabvEeSuskRPkmSpI4z8EmSJHWcgU+SJKnjDHySJEkdZ+CTJEnqOAOfJElSxxn4JEmSOs7AJ0mS1HEGvl3UqlVDs5qlQJIkLR3OtLGLGh29jdnNVGDokyRpqXCET5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkSZI6zsAnSZLUcQY+SZKkjjPwSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A5+kXdQKksz4tWrV0ELvgCRN2fKF7oAkLYztQM147dHRzF1XJGmeOcInSZLUcQY+SZoRTwlLWjo8pStJM+IpYUlLhyN8kiRJHWfgkyRJ6jgDnyRJUscZ+CRJkjrOwCdJktRxBj5JkqSOM/AtUatWDc3qGWCSJGnX4XP4lqjR0duYzTPAwNAnSdKuwhE+SZKkjjPwSZIkdZyBT5IWhHPxShocA58kLYixuXhn9hod/cGCBsbZ3jhmYJUGy5s2JGlJGguMMzM6Orsbt2Z749hsty9pegY+wpdkbZKbkmxOclqf5SuSXNwuvyrJUM+yd7flNyV55WRtJlndtnFz2+Zu871/UzHb/zP2sSqSJGk6Bhr4kiwDPgIcBxwGvDHJYeOqnQTcV1WHAmcBZ7TrHgasBw4H1gJ/mWTZJG2eAZxVVWuA+9q2F9yj/2c8m5ckzcbsriGUtLQMeoTvaGBzVd1SVQ8BFwHrxtVZB1zQfr4UODbNvy7rgIuqantV3Qpsbtvr22a7zjFtG7RtHj+P+yZJS8jsriGUtLQM+hq+g4Dbe75vBZ4/UZ2q2pHkfmC/tvwb49Y9qP3cr839gB9W1Y4+9R8jycnAye3XHye5aRr7NENT+j/kpwB3z7KN2fbB9Sc8Dkum/11Yv88xmItRpiX1Z7DQ68/5MXCkcEYm+e+CBmB6x2D+/57//FQqDTrw9dvr8f+rOFGdicr7jVLurP7jC6vOAc7pt2whJRmpquGF7seuzuOw8DwGC89jsDh4HBbeUj0Ggz6luxU4pOf7wcAdE9VJshzYG7h3J+tOVH438OS2jYm2JUmS1HmDDnxXA2vau2d3o7kJY8O4OhuAE9vPJwBXVFW15evbu3hXA2uAb07UZrvOlW0btG1+dh73TZIkaVEa6Cnd9pq8U4HLgGXA+VW1KcnpwEhVbQDOAy5MsplmZG99u+6mJJcA1wM7gFOq6mGAfm22m/xD4KIk/w34Vtv2UrLoTjPvojwOC89jsPA8BouDx2HhLcljkGYgTJIkSV3l1GqSJEkdZ+CTJEnqOAPfAkrys0m+meSfk2xK8v62vO+UcDubdk4zs5Nj8Mkktya5tn0d2ZYnyV+0x+DbSZ67sHvQHe3MOd9K8vn2u7+DAetzDPwdDFiSLUmua/+8R9qyfZN8pf0tfCXJPm25x2EeTHAM/iTJ93t+C6/qqd932tfFxsC3sLYDx1TVLwJHAmuTvICJp4TrO+2cZmWiYwDw+1V1ZPu6ti07juYO8TU0D+v+6MB73F2/DdzQ893fweCNPwbg72Ah/HL75z32rLfTgMvb38Ll7XfwOMyn8ccAmn+Pxn4LX4CJp31dgP5OysC3gKrx4/brE9pXMfGUcBNNO6cZ2skxmMg64FPtet+gedbjgfPdz65LcjDwH4Fz2+87mxrR38E8GH8MJuHvYLB6/86P/y14HBbWRNO+LjoGvgXWnkK5FrgL+ArwXSaeEu4x084BY9POaRbGH4Oquqpd9IH2NMlZSVa0Zf2mB+w7ZZ+m5cPAHwCPtN93NjWiv4P5Mf4YjPF3MFgFfDnJxjTTfgIcUFV3ArTv+7flHof50e8YAJza/hbOHzutzhI6Bga+BVZVD1fVkTQzgRwNPLNftfZ9ytPFaerGH4MkzwLeDTwDeB6wL80zHcFjMOeSvBq4q6o29hb3qervYJ5McAzA38FCeFFVPZfmdO0pSV6yk7oeh/nR7xh8FHgazaU/dwJntnWXzDEw8C0SVfVD4O+AFzDxlHATTTunOdBzDNZW1Z3taZLtwCd4dIh+KtMDanpeBLw2yRbgIppTuR/G38EgPe4YJPl//R0MXlXd0b7fBXyG5s98dOxUbft+V1vd4zAP+h2DqhptBwceAT7OEvwtGPgWUJKVSZ7cfn4i8B9oLpieaEq4iaad0wxNcAxu7PnHNTTXy3ynXWUD8Bvt3XEvAO4fO9Wimamqd1fVwVU1RHPx8xVV9Sb8HQzMBMfg1/0dDFaSPZI8aewz8AqaP/Pev/Pjfwsehzk00TEYd23kr/DY30K/aV8XnYFOrabHORC4oL2j52eAS6rq80mup/+UcH2nndOsTHQMrkiykma4/lrgP7f1vwC8iubC3H8F3rIAfd5VTDQ1or+DwflrfwcDdQDwmfYepOXA31TVl5JcDVyS5CTge8Dr2/oeh7k30TG4MM1jiQrYArwddj7t62Lj1GqSJEkd5yldSZKkjjPwSZIkdZyBT5IkqeMMfJIkSR1n4JMkSeo4A58kSVLHGfgkLRlJnp+kJnk9kmTPhe4rQJKnJ/mTJLvN1bpJTkpyf88sJANpR9LS5nP4JC0ZSfYFnt5T9A7g1TRPwx/zf/rMCbsgkvw28J6q2n/SylNcN8lTgb2q6jv915yfdiQtbf6fnaQlo6ruBb4x9j3Je4HvVNU3Jl5rQR3Bo1Mwzcm6VfW9BWpH0hLmKV1JS9mzmXmgmrUka5N8LckPk/woyUiSl7fLtgG/Cfxyz+nmY9plb0ry90nuTvLjJF9P8sKedvuum+RnkjyY5K2z6cME7SxL8s4k307ykyR3Jvnrdh5dSUucI3ySlqQkewOHANct0PZfBvwv4E+B9wG7Ay8GdrQh6TXAlcCZwOfb1a5t3w8HLgBuBVYAbwP+V5JDgP+zk3X/Xbud62bZh/Ht/AxwKfAy4IPARpo/2+PK636kTvAaPklLUpIXAV8DjqmqKxdg+x8H9q2q102wfIgm0L1wZ6ec25smngbcCBxWVTdMtG6SXwU+TXPt3YMz7UOfdn4PeD/wvKq6YUp/AJKWFE/pSlqqntW+P26EL8mTk3wsycYk1ye5LskRE5W36/xKknuSXNvzesdOtv9vwCuT/E6SVX2WHwEU4045J3likj9ot/0gzYjeje3if93ZujSnsG+pqgdn04fedtrRvT8AzjbsSd3lKV1JS9WzgdGqurvPso8DI1X1dvjpSNd9wLkTlAMcSRN6/niK238vzf80vw84M8lXgd+tqk3t8iNoQtWPx1ZoT7N+AVgD/DlNWL2P5jq7E4HbJ1q3Z5+/PZs+9GnnCGB/4DNT3G9JS5AjfJKWqmcx8fV7rwS+MvalqrZU1f07KYcm8H1rqhuvqvur6lRgJXAcTYg7r6fKEcA/j1vtJTTXyb2uqv68qr5SVSPAM4HrquqRnaw7Vv7TfZ5hH8a3c2D7fufEeytpqTPwSVqqnsXEd+h+Drgyyd8k+bX2tOXOyqEJfB/oOZ37ial0oqoerqovA5cBy3oWPYNHT9WOObh9/5exgiRraUJgbzB73LpJnkhzrV/vCN+0+9CnnR+078/su4OSOsFTupKWnCQHAvsxwQhfVb0pyXOB/0hz6vSlwCkTlSfZB3hSVf38FLf/MWAHzR2w9wC/BJwEnNxT7UfAS5K8BHgIuAq4BngE+B9JLgCeR3Mqt3hs4Ou37uE0/5P+7Vn24THt0PwZbgI+muR9wB3AYcAhVfWHU/nzkLT4GfgkLUXPbt8nfAZfVV0DXJPkTuAtk5QfCUznhoWbgPXAm2jC0ybg9VX12Z46pwEfAy4H7qmqVcANSU4B/hhYB3yJ5pEs/8BjA9/j1k3ybOBB4Luz6cP4dqpqR5LXAB8CzqJ5XMvNNI9nkdQRPpZFUqckOQ64sqp+kmR34GKa2Tmu6VdeVR9I8k7g8Kp668QtS9LS5TV8krrmeGBTkn8G/onmNOaf7qQc4BeBV497JMtLF6DvkjQvHOGTJEnqOEf4JEmSOs7AJ0mS1HEGPkmSpI4z8EmSJHWcgU+SJKnjDHySJEkdZ+CTJEnqOAOfJElSxxn4JEmSOu7/B6UsafJeI5bNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pc = n_TSSE_2/5000\n",
    "p_TSSE_2 = (\"%.2f\" % pc)\n",
    "fig = plt.figure(figsize=(10,8))\n",
    "ax = fig.add_subplot(111)\n",
    "plt.hist(TSSE_list_2, bins=20, density=True, color=\"b\", edgecolor='k')\n",
    "plt.axvline(T_SSE_obs_2, color=\"r\", linewidth=2)\n",
    "plt.text(0.9,0.9,'p=%s'%p_TSSE_2, color='red', ha='center', transform=ax.transAxes, fontsize=20)\n",
    "ax.set_xlabel(\"$T_{SSE}\\ statistic$\",fontsize=15)\n",
    "ax.set_ylabel(\"Density\",fontsize=15)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 对无截断幂律谱尝试emcee\n",
    "\n",
    "# 均匀先验\n",
    "\n",
    "def lnprior_nobreak(theta):\n",
    "    log_A,alpha,poisson = theta\n",
    "    if -10 < log_A < -1 and 1.0 < alpha < 5.0 and 0.0 < poisson < 1.0:\n",
    "        return 0.0\n",
    "    return -np.inf\n",
    "\n",
    "# 后验概率？\n",
    "\n",
    "def lnprob_nobreak(theta):\n",
    "    log_A,alpha,poisson = theta\n",
    "    lp = lnprior_nobreak(theta)\n",
    "    if not np.isfinite(lp):\n",
    "        return -np.inf\n",
    "    return (lp - 0.5* twi_minus_loglikelihood_nobreak(log_A,alpha,poisson))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[##############################]\n",
      "Serial took 670.8 seconds\n"
     ]
    }
   ],
   "source": [
    "# emcee\n",
    "\n",
    "ndim, nwalkers = 3, 100\n",
    "pos = [[n.values[0],n.values[1],n.values[2]] + 1e-4*np.random.randn(ndim) for i in range(nwalkers)]\n",
    "sampler_nobreak = emcee.EnsembleSampler(nwalkers, ndim, lnprob_nobreak)\n",
    "\n",
    "\n",
    "# 显示进度并记录时间\n",
    "import sys\n",
    "\n",
    "nsteps = 500\n",
    "width = 30\n",
    "start = time.time()\n",
    "for i, result in enumerate(sampler_nobreak.sample(pos, iterations=nsteps)):\n",
    "    z = int((width+1) * float(i) / nsteps)\n",
    "    sys.stdout.write(\"\\r[{0}{1}]\".format('#' * z, ' ' * (width - z)))\n",
    "sys.stdout.write(\"\\n\")\n",
    "end = time.time()\n",
    "multi_time = end - start\n",
    "print(\"Serial took {0:.1f} seconds\".format(multi_time))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x504 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(3, figsize=(10, 7), sharex=True)\n",
    "samples_nobreak = sampler_nobreak.chain\n",
    "labels = [\"log_A\", \"alpha\",\"poisson\"]\n",
    "for i in range(ndim):\n",
    "    ax = axes[i]\n",
    "    ax.plot(np.transpose(samples_nobreak[:,:,i]), \"k\", alpha=0.3)\n",
    "    ax.set_xlim(0, len(samples_nobreak[1]))\n",
    "    ax.set_ylabel(labels[i])\n",
    "    ax.yaxis.set_label_coords(-0.1, 0.5)\n",
    "\n",
    "axes[-1].set_xlabel(\"step number\");"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\\mathrm{log_A} = -3.9045392_{-0.3509214}^{+0.3277177}$$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$$\\mathrm{alpha} = 1.3920475_{-0.1026770}^{+0.1120386}$$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$$\\mathrm{poisson} = 0.3215278_{-0.0457518}^{+0.0420519}$$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "samples_nobreak = sampler_nobreak.chain[:, 100:, :].reshape((-1, ndim))\n",
    "labels = [\"log_A\", \"alpha\",\"poisson\"]\n",
    "\n",
    "from IPython.display import display, Math\n",
    "\n",
    "for i in range(ndim):\n",
    "    mcmc = np.percentile(samples_nobreak[:, i], [16, 50, 84])\n",
    "    q = np.diff(mcmc)\n",
    "    txt = \"\\mathrm{{{3}}} = {0:.7f}_{{-{1:.7f}}}^{{+{2:.7f}}}\"\n",
    "    txt = txt.format(mcmc[1], q[0], q[1], labels[i])\n",
    "    display(Math(txt))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 547.2x547.2 with 9 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import corner\n",
    "fig = corner.corner(samples_nobreak, labels=[\"$logA$\", \"$alpha$\", \"$poisson$\"],\n",
    "                      truths=[n.values[0], n.values[1], n.values[2]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.7067202151564516\n"
     ]
    }
   ],
   "source": [
    "# LRT statistic\n",
    "T = n.fval-m.fval\n",
    "print(T)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmcAAAHmCAYAAAA2tinxAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvIxREBQAAIABJREFUeJzt3Xuc3HV97/HXZy67s5vbbi6QkAQS7uAFwcjNS/EoFdTCsdUK1Xo5KvVRqW3tRWo9Vjk9Hm+11Yq1aK2XqpTjsTZaEK+02iomIhchBEIMEBJCyP261+/5Y2aTYdlkZzYzv5nNvp6Pxzx2fr/fd2Y+7HTtO9/v7/v9RkoJSZIktYdcqwuQJEnSQYYzSZKkNmI4kyRJaiOGM0mSpDZiOJMkSWojhjNJkqQ2YjiTJElqI4YzSZKkNmI4kyRJaiOFVhdwJObOnZuWLFnS6jIab/Xq8s/TTmttHZIkqWF+9rOfPZFSmjdeu0kdzpYsWcLKlStbXUbjXXRR+eett7ayCkmS1EAR8VAt7RzWlCRJaiOGM0mSpDZiOJMkSWojhjNJkqQ2YjiTJElqI4YzSZKkNmI4kyRJaiOGM0mSpDZiOJMkSWojhjNJkqQ2YjiTJElqI4YzSZKkNmI4kyRJaiOGM0mSpDaSWTiLiEsiYnVErImIa8a4/tcRcUflcX9EbM+qNkmSpHZRyOJDIiIPXAdcDKwHVkTE8pTSvSNtUkp/WNX+94Czs6hNkiSpnWTVc3YusCaltDal1A/cAFx+mPZXAl/JpLLDGBwaZvvefgaHhltdiiRJmiKyCmcLgUeqjtdXzj1FRJwALAW+n0Fdh/XdVZt41rXf4f5Nu1tdiiRJmiKyCmcxxrl0iLZXAF9NKQ2N+UYRV0XEyohYuXnz5oYVOJbOYh6A/YNjliJJktRwWYWz9cDiquNFwIZDtL2CwwxpppSuTyktSyktmzdvXgNLfKpSoRLOBgxnkiQpG1mFsxXAKRGxNCI6KAew5aMbRcRpQC/w44zqOqxSsfzr6RvwnjNJkpSNTMJZSmkQuBq4BVgF3JhSuiciro2Iy6qaXgnckFI61JBnpjrtOZMkSRnLZCkNgJTSTcBNo869Z9Txe7OqpxYjPWfecyZJkrLiDgGHURqZEOCwpiRJyojh7DBGwlmfw5qSJCkjhrPDODisac+ZJEnKhuHsMFxKQ5IkZc1wdhi5XNCRz3nPmSRJyozhbBydxZw9Z5IkKTOGs3GUinn6XEpDkiRlxHA2js6Cw5qSJCk7hrNxlIp5hzUlSVJmDGfjKHnPmSRJypDhbBylQp4+1zmTJEkZMZyNw2FNSZKUJcPZOMrDmvacSZKkbBjOxtFZzLPfpTQkSVJGDGfjKBXy9NlzJkmSMmI4G4ezNSVJUpYMZ+NwQoAkScqS4WwcnYUc+11KQ5IkZcRwNo5SMc/QcGJgyIAmSZKaz3A2jlKx/CtyIVpJkpQFw9k4SsU8gPedSZKkTBjOxlEqGM4kSVJ2DGfj6KwMa7pLgCRJyoLhbBwOa0qSpCwZzsYxEs763MJJkiRlwHA2jlLBYU1JkpQdw9k4HNaUJElZMpyNwwkBkiQpS4azcbiUhiRJypLhbBwHJwTYcyZJkprPcDaO0oFhTXvOJElS8xnOxnFgQoBLaUiSpAwYzsbR6VIakiQpQ4azcUQEnYUcfQ5rSpKkDBjOalAq5r3nTJIkZcJwVoNSMeewpiRJyoThrAadhbwTAiRJUiYMZzUo95wZziRJUvMZzmpQKuZdhFaSJGXCcFaDUsEJAZIkKRuGsxp0OiFAkiRlxHBWA5fSkCRJWTGc1cB7ziRJUlYMZzUoFZytKUmSsmE4q4HDmpIkKSuGsxq4Q4AkScqK4awGIzsEpJRaXYokSTrKGc5qUCrmSAkGhgxnkiSpuTILZxFxSUSsjog1EXHNIdr8ZkTcGxH3RMSXs6ptPKViHsD9NSVJUtMVsviQiMgD1wEXA+uBFRGxPKV0b1WbU4A/A56bUtoWEcdkUVstOkfC2cAQM0vFFlcjSZKOZln1nJ0LrEkprU0p9QM3AJePavMW4LqU0jaAlNLjGdU2rlKh/Gvqc1KAJElqsqzC2ULgkarj9ZVz1U4FTo2I/4yIn0TEJWO9UURcFRErI2Ll5s2bm1Tuk5Wqes4kSZKaKatwFmOcG313fQE4BbgIuBL4TET0POVFKV2fUlqWUlo2b968hhc6loPhzJ4zSZLUXFmFs/XA4qrjRcCGMdr8a0ppIKX0S2A15bDWcqVi+dfkhABJktRsWYWzFcApEbE0IjqAK4Dlo9p8HXghQETMpTzMuTaj+g7LYU1JkpSVTMJZSmkQuBq4BVgF3JhSuiciro2IyyrNbgG2RMS9wA+AP0kpbcmivvGUCg5rSpKkbGSylAZASukm4KZR595T9TwB76g82kpnZVizz2FNSZLUZO4QUAN7ziRJUlYMZzU4MCHAe84kSVKTGc5q0OmEAEmSlBHDWQ1KB+45c1hTkiQ1l+GsBh35HBH2nEmSpOYznNUgIigV8oYzSZLUdIazGpWKOWdrSpKkpjOc1ahUtOdMkiQ1n+GsRp2FnBMCJElS0xnOamTPmSRJyoLhrEadxTz77TmTJElNZjirUamQs+dMkiQ1neGsRqVinj7DmSRJajLDWY1cSkOSJGXBcFajUjHP/kF7ziRJUnMZzmrkDgGSJCkLhrMaOawpSZKyYDirkeucSZKkLBjOajSyQ0BKqdWlSJKko5jhrEadxTyAWzhJkqSmMpzVqDQSzrzvTJIkNZHhrEalYvlX5XIakiSpmQxnNSoVyj1nTgqQJEnNZDir0ciwpstpSJKkZjKc1ejAsKY9Z5IkqYkMZzU62HNmOJMkSc1jOKvRwQkBDmtKkqTmMZzVqLMwspSGPWeSJKl5DGc1sudMkiRlwXBWo06X0pAkSRkwnNXo4A4BhjNJktQ8hrMaHVxKw2FNSZLUPIazGrmUhiRJyoLhrEbFfI58LtxbU5IkNZXhrA6lQs5hTUmS1FSGszqUinmHNSVJUlMZzupQKubpc50zSZLURIazOnQWcvacSZKkpjKc1aGzmPeeM0mS1FSGszqUijn6nK0pSZKayHBWh1LBCQGSJKm5DGd1KBVdSkOSJDWX4awOLqUhSZKazXBWh1Ix7w4BkiSpqQxndXBYU5IkNZvhrA6dhTx9DmtKkqQmMpzVoTysac+ZJElqnszCWURcEhGrI2JNRFwzxvU3RMTmiLij8nhzVrXVqrOQo39wmOHh1OpSJEnSUaqQxYdERB64DrgYWA+siIjlKaV7RzX955TS1VnUNBGlYh6AvsFhujryLa5GkiQdjbLqOTsXWJNSWptS6gduAC7P6LMbplQs/7pcTkOSJDVLVuFsIfBI1fH6yrnRfiMi7oqIr0bE4mxKq91Iz5nLaUiSpGbJKpzFGOdG37j1DWBJSumZwHeBz4/5RhFXRcTKiFi5efPmBpd5eAd7zpwUIEmSmiOrcLYeqO4JWwRsqG6QUtqSUuqrHH4aePZYb5RSuj6ltCyltGzevHlNKfZQSoVKz5nDmpIkqUmyCmcrgFMiYmlEdABXAMurG0TEgqrDy4BVGdVWswPDmoYzSZLUJJnM1kwpDUbE1cAtQB74bErpnoi4FliZUloOvD0iLgMGga3AG7KorR6dDmtKkqQmyyScAaSUbgJuGnXuPVXP/wz4s6zqmYiDS2nYcyZJkprDHQLqcPCeM3vOJElScxjO6jAyrGnPmSRJahbDWR2cECBJkprNcFaHUsEJAZIkqbkMZ3Ww50ySJDWb4awOB8OZPWeSJKk5DGd1yOeCYj7cW1OSJDWN4axOpULeYU1JktQ0hrM6dRbz9A06rClJkprDcFanUjFnz5kkSWoaw1mdOgs5+pwQIEmSmsRwVqdS0XvOJElS8xjO6lQq5p2tKUmSmsZwVqfyPWcOa0qSpOYwnNXJpTQkSVIzGc7q5D1nkiSpmQxndep0WFOSJDWR4axOJRehlSRJTWQ4q1OpkKfPYU1JktQkhrM6lYo5l9KQJElNYzirU2chz8BQYmg4tboUSZJ0FDKc1alULP/KnLEpSZKawXBWp1IxDxjOJElScxjO6nSg58wZm5IkqQkMZ3Wy50ySJDWT4axOnQXDmSRJah7DWZ1GhjVdiFaSJDWD4axODmtKkqRmMpzVaSSc9bm/piRJagLDWZ1c50ySJDWT4axOpcqEgH2GM0mS1ASGszrN6ioCsGPfQIsrkSRJRyPDWZ1mdhWJgG17DWeSJKnxDGd1yueCWV1Ftu3pb3UpkiTpKGQ4m4De7g627TWcSZKkxjOcTUBPd5HtDmtKkqQmMJxNwGx7ziRJUpMYziagp7vDnjNJktQUhrMJ6O0u2nMmSZKawnA2Ab3TOtjbP+QuAZIkqeEMZxPQ011eiNahTUmS1GiGswno7e4AcGhTkiQ1nOFsAgxnkiSpWQxnE9A7zWFNSZLUHIazCRjpOdvqFk6SJKnBDGcTcHBCgOFMkiQ1luFsAjoLebo78mxzWFOSJDWY4WyC3PxckiQ1Q2bhLCIuiYjVEbEmIq45TLtXRkSKiGVZ1TYRvdPc/FySJDVeJuEsIvLAdcClwJnAlRFx5hjtZgBvB27Loq4j0dvd4YQASZLUcFn1nJ0LrEkprU0p9QM3AJeP0e5/AR8C9mdU14SVNz83nEmSpMbKKpwtBB6pOl5fOXdARJwNLE4pffNwbxQRV0XEyohYuXnz5sZXWqPy5ucOa0qSpMbKKpzFGOfSgYsROeCvgT8a741SStenlJallJbNmzevgSXWp6e7g537BxgaTuM3liRJqlFW4Ww9sLjqeBGwoep4BvB04NaIWAecDyxv50kBs7uLpAQ79tl7JkmSGiercLYCOCUilkZEB3AFsHzkYkppR0ppbkppSUppCfAT4LKU0sqM6qtb7zR3CZAkSY2XSThLKQ0CVwO3AKuAG1NK90TEtRFxWRY1NFpPZQsnJwVIkqRGKmT1QSmlm4CbRp17zyHaXpRFTUeit7KFk5MCJElSI7lDwASNbH7uLgGSJKmRag5nEfHnETG/mcVMJm5+LkmSmqGenrOXAA9FxL9GxMsiYqzlMaaM6Z0FivlwWFOSJDVUzeEspfQC4BnAfcBngIcrN/Sf0Kzi2llE0NPdwTZna0qSpAaq656zlNL9KaV3Ul6n7Grg5cCDEfGtiLikGQW2s/IuAYYzSZLUOHVPCKisU/Zq4PeBU4F/An4MfCYirmtsee2tp7vDYU1JktRQNS+lERFnAW8Gfgt4FPg08IqU0o7K9U8Ba4C3NaHOttTbXeSXT+xpdRmSJOkoUk/P2Y8pb7N0WUrpmSmlvx0JZgAppU3A9Y0usJ312nMmSZIarJ5wtiil9IaU0n9Wn6yetZlSGnfj8qNJ77TyhICU3Px80vvwh2HhQpg2DV78Yli79tBt9+2DV70KTjkFcjn4y798apv/8T9g8WKYORMWLCgfb9s28c+UJE0Z9YSzdYc4v6UBdUxKvd1FBocTu/sGW12KjsSXvlQOSt/4BmzeDGeeCZddBkNDY7ePgAsvhOuvh3PPHbvNO94B990HO3fCqlWwdy+8rWrEv97PlCRNGfWEs6esazbV1zo7uL+mQ5stsWQJXHstPO95MH06LFsGK1bU/z7XXw+/8ztwzjnQ3Q3vf3+5F+tHPxq7fakEf/iH8MIXlp+P5elPL/eIjcjlYPXqiX+mJGnKGDecRcT1EXE90DHyvOrcd4DV47zFUcstnNrApz4FH/sYbN0Kr3wlvPSl5d6qL38ZenoO/Xj5yw++x513wrOfffB4+vTykOWddx5ZbR/4AMyYAb298PWvw5//efM/U5I06dXSc1asPKLqeRHIA7dRnr05Jbn5eRt405vKIaejA975Tujqgm9+E37rt2D79kM/vvnNg++xaxfMmvXk9+3pKYe8I3HNNeX3XrsW/uiP4OSTm/+ZkqRJb9ylNFJKbwSIiHtTSh9ufkmTx8iwprsEtNCSJQefR8Dxx8P69fW9x4wZsGPHk89t316+mb8Rli6FX/u1cq/eww+Xhzib/ZmSpEmrnu2bDGajzJ7msGbLrVt38HlK5fCzaFH5hvvp0w/9uPTSg6876yy4/faDx7t3wwMPlM83yuAgPPoo7NmT3WdKkialw4aziPh51fMHIuL+sR7NL7M9zeoqEuGwZkt99rPlkDMwUJ79uHcvvOxl8JrXlAPPoR4333zwPa66Cv7+7+HnPy8vk/Hud5d7u573vEN/bl8f7N8Pw8Pl4LV/f7kGgMcfhy98odwTBnD//fCnf1p+vxkzJv6ZkqQpYbxhzeresjEWc5ra8rlgZqnIdnvOWueqq+Dtb4c77oDTToN/+7en3ss1nte8ptyr9bKXlQPVBRfA8uWQz5ev//CH5Z62e+8tD5tC+bMeeujg9fe9D17/evjc58rDq5/7HPzBH5RD3Ny55de/7321f6YkacqKybyA6rJly9LKlStbWsNFH/4Bz1jUw99eeXYD3/Si8s9bb23cex6NliwpLwD72te2uhJJksYVET9LKS0br13N95xFxHMj4oTK82Mi4nMR8ZmImHskhU52Pd0dTgiQJEkNU88itH9HeQkNgA8CC4FjgesaXdRkMntahxMCJElSw4y7lEaVxSmlNZVdAV4OPA3YC0zpDQF7uousfmxXq8uYmqpnakqSdJSoJ5wNRUQXcAbwWErp8YjIAV3NKW1y6O2250ySJDVOPeHs+8CNwBzg65VzpwKPNbqoyaS3u8je/iH2DwxRKjrTTpIkHZl67jm7CrgLuAV4f+XcycAnGl3UZOLm55IkqZFq7jlLKW0H/nzUuW8eovmUUb35+fxZpRZXI0mSJrt6hjWJiAuAZcCM6vMppfeP/YqjX++0kc3Pve9MkiQduZrDWUS8F3gXcAewp+pS4uAw55TT67CmJElqoHp6zt4KPC+l9NNmFTMZVQ9rSpIkHal6JgQE0Nq9ktpQT3d5WNOeM0mS1Aj1hLPPAG9qViGTVamYp6uYZ6tbOEmSpAaoZ1jzPOCPI+LtwMbqCymlX21oVZNMb3fRYU1JktQQ9YSzH1YeGqV3WofDmpIkqSHqWefsfc0sZDJzCydJktQo9dxzRkScGBHviohPVI5PjYinNae0yaOnu2jPmSRJaoiaw1lEXAzcCZwPvK5yeh7wkSbUNan0dnc4IUCSJDVEPT1nHwBelVK6DBiqnLsdOKfhVU0yvd1Fdu4fYGg4tboUSZI0ydUTzk5KKX2r8jwBpJT2AcWGVzXJ9HR3kBLs2OfQpiRJOjL1hLNHIuLp1Sci4ixgXUMrmoRmT3OXAEmS1Bj1hLOPA1+LiNcC+Yj4DeBLwF83pbJJ5OAuAYYzSZJ0ZOpZSuPTERHAO4E88D7gb1JKX2xWcZPFyP6aW/c4rClJko7MYcNZRBw/6tS3Ko8ntUkpPdzowiYTNz+XJEmNMl7P2ToqN/+PI3/kpUxePdMc1pQkSY0x3j1ni4HjK4+rgP8CXgKcClwC/Ah4SzMLnAxmdBYo5MJhTUmSdMQO23OWUnp05HlE/AnwgpTS45VTD0bEXcC/A59tXontLyKYP6vExh37Wl2KJEma5OqZrTkf2Dvq3N7K+SlvYU8Xj24znEmSpCNTTzj7D+DzEbEkInIRsZRyj9kPm1Pa5LKot5v1hjNJknSE6glnbwF6gLXAALAGmA28uQl1TToLe7vYtGs//YPDrS5FkiRNYjWHs5TSppTSi4BFwAXA8SmlF6WUNtXy+oi4JCJWR8SaiLhmjOtvjYi7I+KOiPhRRJxZ839FG1jU20VKeN+ZJEk6IvX0nAGQUtqQUvpp9WSB8UREHrgOuBQ4E7hyjPD15ZTSM1JKzwI+BHy03tpaaVFvF4BDm5Ik6YjUHc4m6FxgTUppbUqpH7gBuLy6QUppZ9XhNGpbX61tLOrpBnBSgCRJOiI1b990hBYCj1QdrwfOG90oIt4GvAPoAP5bNqU1xvxZJXIB67eNntAqSZJUu6x6zmKMc0/pGUspXZdSOony/p3vHvONIq6KiJURsXLz5s0NLnPiOgo5jp1ZYv12e84kSdLEZRXO1lPebWDEImDDYdrfAPz3sS6klK5PKS1LKS2bN29eA0s8cot6u7znTJIkHZGswtkK4JSIWBoRHcAVwPLqBhFxStXhy4AHMqqtYRb1dnvPmSRJOiKZ3HOWUhqMiKuBWyhvkv7ZlNI9EXEtsDKltBy4OiJeTHkNtW3A67OorZEW9nTx2M79DA4NU8hnlXslSdLRJKsJAaSUbgJuGnXuPVXPfz+rWpplUW8XQ8OJjTv2s3h2d6vLkSRJk5DdOw20sLLW2aNOCpAkSRNkOGugRb3l3jInBUiSpIkynDXQglklwIVoJUnSxBnOGqhUzHPMjE4XopUkSRNmOGsw1zqTJElHwnDWYAt7u50QIEmSJsxw1mCLervYsH0fQ8OTat92SZLUJgxnDbawp4vB4cTju/a3uhRJkjQJGc4abFFlrTPvO5MkSRNhOGuwkbXOXE5DkiRNhOGswRb2jPScuZyGJEmqn+Gswbo68syd3uGwpiRJmhDDWRMs7OlyOQ1JkjQhhrMmWNTbbc+ZJEmaEMNZEyzqLfecDbvWmSRJqpPhrAkW9nbRPzjME7v7Wl2KJEmaZAxnTXBgrTPvO5MkSXUynDXBwp7yWmfedyZJkuplOGuChb2udSZJkibGcNYE0zsL9HQX3SVAkiTVzXDWJIt6uxzWlCRJdTOcNcminm4XopUkSXUznDXJwt4u1m/bS0qudSZJkmpnOGuSRb1d7B8YZuue/laXIkmSJhHDWZMs7BmZsenQpiRJqp3hrEkW9brWmSRJqp/hrElG1jp7dLtrnUmSpNoZzppkVleRGaWCPWeSJKkuhrMmWtTbzSNb7TmTJEm1M5w10SnHTOf+TbtbXYYkSZpEDGdNdPqCGTy6fR879g20uhRJkjRJGM6a6Iz5MwFY/diuFlciSZImC8NZE52+YAYA9z22s8WVSJKkycJw1kTzZ5bo6S6yaqM9Z5IkqTaGsyaKCE6fP4NVG+05kyRJtTGcNdnp82ey+rFdDA+7AbokSRqf4azJzlgwg30DQzzsemeSJKkGhrMmO2NBecamkwIkSVItDGdNdsoxM8gF3OukAEmSVAPDWZN1deRZMnca9zkpQJIk1cBwloEz5s/kPheilSRJNTCcZeCMBTN4eOtedvcNtroUSZLU5gxnGTj9wDZODm1KkqTDM5xlYGQbJ3cKkCRJ4zGcZWBhTxczSgWX05AkSeMynGUgIsqTAuw5kyRJ4zCcZeT0BTO4z22cJEnSOAxnGTl9/kx29w3y6PZ9rS5FkiS1sczCWURcEhGrI2JNRFwzxvV3RMS9EXFXRHwvIk7IqrYsHJwU4H1nkiTp0DIJZxGRB64DLgXOBK6MiDNHNfs5sCyl9Ezgq8CHsqgtK6cdO4MIXIxWkiQdVlY9Z+cCa1JKa1NK/cANwOXVDVJKP0gp7a0c/gRYlFFtmZjWWeCE2d32nEmSpMPKKpwtBB6pOl5fOXcobwJuHutCRFwVESsjYuXmzZsbWGLzne42TpIkaRxZhbMY49yY0xYj4rXAMuDDY11PKV2fUlqWUlo2b968BpbYfKcvmMG6LXvY2+82TpIkaWxZhbP1wOKq40XAhtGNIuLFwJ8Dl6WU+jKqLTNnLJhJSnD/pt2tLkWSJLWprMLZCuCUiFgaER3AFcDy6gYRcTbw95SD2eMZ1ZWpMyp7bHrfmSRJOpRMwllKaRC4GrgFWAXcmFK6JyKujYjLKs0+DEwH/m9E3BERyw/xdpPWot4upnXkuc9wJkmSDqGQ1QellG4Cbhp17j1Vz1+cVS2tkssFp82fwSonBUiSpENwh4CMPe24Wdzz6A4Gh4ZbXYokSWpDhrOMPWfpbPb0D3HPBoc2JUnSUxnOMnb+0tkA3PbLLS2uRJIktSPDWcaOmVnixLnT+Mnara0uRZIktSHDWQucd+IcVvxyK0PDY67DK0mSpjDDWQucf+JsdvUNcq/3nUmSpFEMZy1w3tI5gPedSZKkpzKctcD8WSWWzOnmJ2sNZ5Ik6ckMZy1y/olzuM37ziRJ0iiGsxY5/8Q57No/6D6bkiTpSQxnLXLeieX1zhzalCRJ1QxnLbJgVhcnzOnmtl+63pkkSTrIcNZC5y2dzU9/uZVh7zuTJEkVhrMWOv/EOezYN8B9j+1qdSmSJKlNGM5a6LwTy+uded+ZJEkaYThroYU9XSye3WU4kyRJBxjOWuy8pXP46TrvO5MkSWWGsxY7/8Q5bN87wOpN3ncmSZIMZy133tLyeme3ObQpSZIwnLXc4tndLOzp4idrXe9MkiQZztrCeSfO5rZfbvG+M0mSZDhrB887eS7b9g5w16M7Wl2KJElqMcNZG3jR6cdSyAU3372x1aVIkqQWM5y1gVndRZ578lxu+sVGUnJoU5Kkqcxw1iZe+oz5PLJ1H/ds2NnqUiRJUgsZztrExWfOJ58LbnJoU5KkKc1w1iZmT+vgghPncNPdG3FgU5Kkqctw1kYufcZ81m3Zy97+oVaXIkmSWsRw1kZ+9cz55AK27ulvdSmSJKlFDGdtZN6MTs5dOpute/paXYokSWoRw1mbufTpC9jXP+TQpiRJU5ThrM1c8vT5gEObkiRNVYazNnPszBIzSkXDmSRJU5ThrA3NntbB3v5B1m7e3epSJElSxgxnbWj2tA4Abv7FYy2uRJIkZc1w1oY6Czmmdxb4luFMkqQpx3DWpmZP7+DuR3fw8Ja9rS5FkiRlyHDWpuZM6yQX8JUVD7e6FEmSlCHDWZvqLOR48RnHcsNPH2b/gGueSZI0VRjO2tjrL1zCtr0D/NtdG1tdiiRJyojhrI1deNIcTpo3jS/8eF2rS5EkSRkxnLWxiOD1Fy7hzvU7uOOR7a0uR5IkZcBw1uZ+/ZxFTO8s8IX/WtfqUiRJUgYMZ21uemeBXz9nId+8ayNbdve1uhxJktRkhrNJ4HUXnED/0DA3rHik1aVIkqQmM5xNAicfM4PnnjyHL/3kIQaHhltdjiRJaiLD2STxuguWsGHHfr676vFWlyJJkpoos3AWEZdExOqIWBPhk7jpAAAUIklEQVQR14xx/QURcXtEDEbEK7Oqa7J40enHcNyskstqSJJ0lMsknEVEHrgOuBQ4E7gyIs4c1exh4A3Al7OoabIp5HO85vwT+K8Ht/DApl2tLkeSJDVJVj1n5wJrUkprU0r9wA3A5dUNUkrrUkp3Ad5UdQhXPGcxpWKOT976YKtLkSRJTZJVOFsIVE81XF85pzrMmd7JG5+7lK/f8SirNu5sdTmSJKkJsgpnMca5NKE3irgqIlZGxMrNmzcfYVmTz1tfcBIzOgt85JbVrS5FkiQ1QVbhbD2wuOp4EbBhIm+UUro+pbQspbRs3rx5DSluMpnVXeStF53E9+57nJXrtra6HEmS1GBZhbMVwCkRsTQiOoArgOUZffZR540XLuWYGZ188Fv3kdKEOiAlSVKbyiScpZQGgauBW4BVwI0ppXsi4tqIuAwgIp4TEeuBVwF/HxH3ZFHbZNTVkeftLzqFFeu2cevqqTe0K0nS0ayQ1QellG4Cbhp17j1Vz1dQHu5UDV79nMV8+odr+eC37uNXTp1HLjfWbX2SJGmycYeASaqYz/GOi0/lvsd28Y27JnT7niRJakOGs0ns1555HGcsmMlffft++gddHk6SpKOB4WwSy+WCP33JaTy8dS9f+enDrS5HkiQ1gOFskrvotHlceNIcPnLLajbu2NfqciRJ0hEynE1yEcH/+fVnMDiceNfX7nZpDUmSJjnD2VHghDnT+JOXnMYPVm/ma7c/2upyJEnSETCcHSXecOESlp3Qy/u+cQ+P79zf6nIkSdIEGc6OErlc8MFXPpO+wWHe/fVfOLwpSdIkZTg7ipw0bzrvuPhUvn3vJr5518ZWlyNJkibAcHaUedPzlnLWoln8xfJ72LK7r9XlSJKkOhnOjjKFfI4Pv+osdu0f4F3/4uxNSZImG8PZUejUY2fwJy85jVvu2cQnb32w1eVIkqQ6GM6OUm95/olcdtZxfOTbq/n+fZtaXY4kSaqR4ewoFRF88DeeyRnzZ/L7X7mDBzfvbnVJkiSpBoazo1hXR57rX/dsioUcb/nCSnbuH2h1SZIkaRyGs6Pcot5urvutc3hoy17e8c93MDzsBAFJktqZ4WwKuOCkObzn5Wfy3VWP89Hv3N/qciRJ0mEUWl2AsvG6C07g3g07+cQP1tDTXeTNzz+x1SVJkqQxGM6miIjgf7/i6ezqG+Av/20VhVzwhucubXVZkiRpFMPZFFLI5/jYFWczNHw77/3GveTzOX77/BNaXZYkSariPWdTTDGf42+vPIcXn3EM//Prv+ArP3241SVJkqQqhrMpqKOQ47rXnMMLT5vHn33tbm5c8UirS5IkSRWGsymqs5Dn7177bJ5/ylze+bW7+NS/P+g+nJIktQHD2RRWKub59OuW8bJnLOADN9/Hn371LvoHh1tdliRJU5oTAqa4UjHPx684mxPnTefj33uAh7bu5VOvfTazp3W0ujRJkqYke85ELhe84+JT+dgVz+KOR7bzik/+J2sedy9OSZJawXCmAy5/1kK+8pbz2dM3yCs++Z986xcbW12SJElTjuFMT/LsE3r5+tuey5I503jrP93OH//fO9nlhumSJGXGcKanWNTbzdd+90KufuHJfO329bz04z9k5bqtrS5LkqQpwXCmMRXzOf74Jadx4+9cAMBv/v2P+cgtqxkYcjanJEnNZDjTYS1bMpub3v58fuOcRXziB2u49GM/5EcPPNHqsiRJOmoZzjSuGaUiH37VWXz2DcsYGBrmtf9wG7/zxZU8snVvq0uTJOmoYzhTzf7b6cdyyx+8gD95yWn8x/1P8OKP/jsf/c797OsfanVpkiQdNQxnqkupmOdtLzyZ7//xr/CSp83n4997gOd/6Ad85odr2ds/2OryJEma9AxnmpAFs7r4+JVn89W3XsBp86fzl/+2iud/8Ad86t8fZE+fIU2SpIkynOmILFsymy+9+Xy++tYLOPO4mXzg5vt43ge/z8e/9wCbd/W1ujxJkiYdw5kaYtmS2XzxTefxtd+9kGct7uGj37mfCz/wPd7+lZ+zct1WUkqtLlGSpEnBjc/VUOcc38s/vvFcHty8m3/6yUN89WfrWX7nBs5YMJPXnHc8L3/mAnq63VRdkqRDicnco7Fs2bK0cuXKVpfReBddVP55662trKIh9vYP8q93bOALP36IVRt3UswHv3LqMVz+rON48RnH0tWRb3WJkiRlIiJ+llJaNl47e87UVN0dBa4893iueM5i7tmwk3+941GW37mB767axLSOPBefeSy/+rT5PP+UucwoFVtdriRJLWc4UyYigqcvnMXTF87imkvP4Ke/3MryOx/l5l88xtfv2EAxH5y3dA4vOuMYXnT6sRw/p7vVJUuS1BIOa7ajo2hYczyDQ8Pc/vB2vrdqE99dtYkHN+8B4PjZ3Vxw4hwuOKn8OHZmqcWVSpJ0ZBzW1KRQyOc4d+lszl06mz976Rmse2IPP1j9OP/14BZu/sVG/nnlIwCcOHcay5b0cvbxvTxrcQ+nHjuDfC5aXL0kSY1nOFNbWTJ3Gm+cu5Q3PncpQ8OJVRt38uMHt/DjtVv49r2buHHlegCmdeR5xqJZnLWohzMWzOTM42Zy4txpFPKuDiNJmtwMZ2pb+dzB+9Te8oITSSnx0Ja9/PyRbfz84e3c8ch2/vE/19E/NAxARyHHacfO4LT5Mzj5mOmcPG86Jx0zncW9XYY2SdKkYTjTpBERLJk7jSVzp/GKsxcBMDA0zIObd7Nq405WbdzFvRt28u/3b+arP1t/4HUd+RwnzOnmhDnTOH52NyfM6eb4Od2cMLub43q6KBVdzkOS1D4MZ5rUivkcp8+fyenzZ/KKsw+e37FvgAc372bN47t5cPNu1m7ew8Nb9vKjNZvZPzD8pPeYO72DBbO6OK6nxHE9XRw7s8SxMzs5dkaJY2Z2cszMEjM6C0R4j5skqfkMZzoqzeoqcs7xvZxzfO+TzqeU2Lyrj4e27uXhLXvZuGMfj27fz4bt+1i7eQ8/euAJ9vQPPeX9Ogo55k7rYO6MTuZM62DO9E5mT+ugp7tIb3cHvd1FerrLx7O6iswsFenuyBvoJEl1yyycRcQlwMeAPPCZlNIHRl3vBL4APBvYArw6pbQuq/o0NUQEx8wscczMEs9ZMnvMNrv7Btm0cz+P7+zj8V372bRzP1t29/PE7n627Onjid393PfYLrbu6advcHjM9wAo5IKZXUVmlgrMKBWZ3llgeqnAjMrPaZ0FpnXk6e4oMK2z/LO7I09XMU9XR/nRXSxQKuYodeQpFfIU82Hgk6SjXCbhLCLywHXAxcB6YEVELE8p3VvV7E3AtpTSyRFxBfBB4NVZ1CdVm95ZYPq86Zw0b/q4bff1D7Ftbz/b9vazfe8A2/cOsHP/ADv3DbBjX/n5jn2D7OkbZPf+QdZv28fuvgF27R9kb9/QgckMtcoFdBXzdBbzdBZylUeejsrzjkKOYr78s6OQozNfPi4Wonw+n6OQLz8v5nMUckEhn6MjH+Rz5Wsj5wq5IJ+Lqp858pXnBx4R5HJQyOXIBeQq5/K5OPB85HwuyseRo3I+iChP/MhV2hk8JSm7nrNzgTUppbUAEXEDcDlQHc4uB95bef5V4BMREWkyr5Kro165h6uL43q6JvT6/sFh9vYPsqd/iD19g+zrH2Jv/xD7B4bYN1B+vm9giL6B8rn9A8Pln4ND9A8O0zc4TN/AMH2DQ/QNDtM/OMzuvkH6K8/7BocZHB5mYCgxMDTMwFD5/HAb/1WNhLSRnwEHglyuchxjtIlKmwPXqT6uPB/r/MgHV52rHD6p/YFmVdeptKGqbfW56nbVJ0e/9kntxviM0W0PvuapbzBWvD1U5o0xWteaj8etZwImQzb3HxBHr1cvW8zLnrmg1WUA2YWzhcAjVcfrgfMO1SalNBgRO4A5wBPVjSLiKuAqgOOPP75Z9UqZKPdwddCT8W5Vw8OJgeFhBocSg0OJ/qFhhoYTgyPnqp4PDSeGUvnnk4+HGRqmfDycGE7lx5OPy9fTyPlUvu+v+trwcCIBwymRDlyvHI86PzQMiYPHT7pO5Vyicnzw/HDlyYE2cOAaVedGThz8jPJzntJ+5Dc51rWDyfep7cduVy1V1TD63FjtqtuO2e4Q55/0HzzqfcZzqM85Ekfy7/Cs/q1hV8HRrW/wqfcbt0pW4Wysf2qM/j/zWtqQUroeuB7K2zcdeWnS1JPLBZ25PJ1OCZKktpPVypzrgcVVx4uADYdqExEFYBawNZPqJEmS2kRW4WwFcEpELI2IDuAKYPmoNsuB11eevxL4vvebSZKkqSaTQY3KPWRXA7dQXkrjsymleyLiWmBlSmk58A/AFyNiDeUesyuyqE2SJKmdZHbHSUrpJuCmUefeU/V8P/CqrOqRJElqR+4GLUmS1EYMZ5IkSW3EcCZJktRGDGeSJEltxHAmSZLURgxnkiRJbcRwJkmS1EYMZ5IkSW3EcCZJktRGDGeSJEltxHAmSZLURgxnkiRJbcRwJkmS1EYMZ5IkSW0kUkqtrmHCImIz8FAD33Iu8EQD30+N43fTnvxe2pffTXvye2lfWXw3J6SU5o3XaFKHs0aLiJUppWWtrkNP5XfTnvxe2pffTXvye2lf7fTdOKwpSZLURgxnkiRJbcRw9mTXt7oAHZLfTXvye2lffjftye+lfbXNd+M9Z5IkSW3EnjNJkqQ2YjiTJElqI4azioi4JCJWR8SaiLim1fWoLCLWRcTdEXFHRKxsdT1TWUR8NiIej4hfVJ2bHRHfiYgHKj97W1njVHSI7+W9EfFo5e/mjoh4aStrnKoiYnFE/CAiVkXEPRHx+5Xz/t200GG+l7b5u/GeMyAi8sD9wMXAemAFcGVK6d6WFiYiYh2wLKXkoo0tFhEvAHYDX0gpPb1y7kPA1pTSByr/qOlNKb2zlXVONYf4Xt4L7E4pfaSVtU11EbEAWJBSuj0iZgA/A/478Ab8u2mZw3wvv0mb/N3Yc1Z2LrAmpbQ2pdQP3ABc3uKapLaSUvoPYOuo05cDn688/zzl/4FThg7xvagNpJQ2ppRurzzfBawCFuLfTUsd5ntpG4azsoXAI1XH62mzL2oKS8C3I+JnEXFVq4vRUxybUtoI5f/BA45pcT066OqIuKsy7OmwWYtFxBLgbOA2/LtpG6O+F2iTvxvDWVmMcc7x3vbw3JTSOcClwNsqQziSDu/vgJOAZwEbgb9qbTlTW0RMB/4f8AcppZ2trkdlY3wvbfN3YzgrWw8srjpeBGxoUS2qklLaUPn5OPAvlIeg1T42Ve7fGLmP4/EW1yMgpbQppTSUUhoGPo1/Ny0TEUXKAeBLKaWvVU77d9NiY30v7fR3YzgrWwGcEhFLI6IDuAJY3uKapryImFa5WZOImAb8KvCLw79KGVsOvL7y/PXAv7awFlWM/D/+ilfg301LREQA/wCsSil9tOqSfzctdKjvpZ3+bpytWVGZMvs3QB74bErpf7e4pCkvIk6k3FsGUAC+7PfSOhHxFeAiYC6wCfgL4OvAjcDxwMPAq1JK3pyeoUN8LxdRHppJwDrgd0bucVJ2IuJ5wA+Bu4Hhyul3Ub6/yb+bFjnM93IlbfJ3YziTJElqIw5rSpIktRHDmSRJUhsxnEmSJLURw5kkSVIbMZxJkiS1EcOZJDVIRLw+In52BK//TET8TSNrkjT5GM4ktURE3BoR7z7Etc9FxEBE7I6InRGxKiJ+t+r66sq13RHRHxGDVce7I+K4Omv5UURcU+dr/ikiPlV9LqX0+ZTSs2t8/fqIuGLU69+cUvqDeuqQdPQxnElqV59PKU0HeoB3A5+IiIsAUkqnpZSmV66/H7h15LjycPs1SZOW4UxSW0spDaeU/h+wBVg20feJiF+NiDsqPXFPRMS3Kuc/BVwAvK/S63ZP5fzFEfHTiNgeEY9HxFciYm7l2ruAVwNvGumtq5x/c0TcV/WZr6n08u2KiE0R8Q+V8zcDxwGfq7z+5sr5J/XGRcQxEfGPEfFIpe6VEXHyRH8HkiYHw5mkthYR+Yh4NeXtiVYfwVt9EfgrYBawCPgAQErprcCPgb+o9Lo9rdK+D/jdyueeBSwG/rrymvcD/wz8Q1UP3ui6ZwCfB96SUpoBnAR8rvL6S4ENwBsqr790rP9u4BvANODZlHsQ3wTsPoLfgaRJoNDqAiTpEH47Il5JOZzkgfeklL5xBO83AJwMHJtSegy49XCNU0r/UXW4MSI+AnxyAp95RkTcnVLaRnk/v1qdR3mfvxenlHZVzt1Z5+dLmoTsOZPUrr6YUuqh3NP1SeBFEXEk/6D8NeAM4O6IuCcifu9wjSPiORHx7Yh4LCJ2Av8EzKv1wyqB6mXAy4FfVoYkrxjnZdWWAI9VBTNJU4ThTFJbSyntBd4BLATedgTv8/OU0m8Cx1AervxwRLygcnl4jJfcCNwGnJJSmgm8Foiq62O9ZvRnfj+l9GvAHOCDwJciYkmNr18HzI+IpwyZSjq6Gc4ktVIhIkrVj7EapZT6gWuBd1fu5apLRHRFxOsiYk5KKQHbgAQMVpo8RnnIs9pMYCewOyJOAN456vpjwEkREYwhIo6LiF+PiJkppaHKZ8aozzzlMGXfBtwNfDoi5kVELiLOioj5Nf1HS5q0DGeSWukvgH3Vj8OEjy8DW4E/muBnXQmsrsys/BfgXSml/6pc+yhwQURsi4i7KufeArwV2AV8lfIEgGrXU75Jf2tEbB/j83LA7wEPR8Qu4GPAb6eU1leu/y/gDZXP/OboF1cC3csph7k7ge3AZwB70qSjXJT/ESlJkqR2YM+ZJElSGzGcSZIktRHDmSRJUhsxnEmSJLURw5kkSVIbMZxJkiS1EcOZJElSGzGcSZIktZH/D8/66RUM52TRAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import scipy.stats as stats\n",
    "\n",
    "p = stats.chi2.pdf(T,1)\n",
    "p1 = (\"%.3f\" % p)\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(np.linspace(0,25,100),stats.chi2.pdf(np.linspace(0,25,100),df=1))\n",
    "plt.axvline(T,color=\"r\")\n",
    "plt.text(0.2,1.8,'p=%s'%p1,color='red',ha='center',transform=ax.transAxes,fontsize=13)\n",
    "plt.xlabel(\"LRT statistic\",fontsize=13)\n",
    "plt.ylabel(\"density\",fontsize=13)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
